No one likes to look like a tourist - even when they are one. Instead of grappling with Google Maps, take advantage of the city's extensive network of tourist information centres. The Plaza Mayor outpost, for example, is open 365 days a year and offers clever virtual visitor video assistance. Having said that, nothing beats working out the lay of the land with an actual person (a local guide). First visit to Madrid? Start with a guided walk around the city's historic centre. Been before? Branch out into the more bohemian neighbourhoods such as Malasaña (teeming with students), LGBTQ-friendly Chueca or the architecture- and indie-boutique-rich Salesas.

Madrileños are social creatures - whether that be hanging out with friends over post-work drinks, packing a picnic and heading to one of the city's 40 green spaces or indulging in "terraceo", a long-held tradition of moving from terraza to terraza (outdoor tables make perfect sense in a capital blessed with 350 sunny days a year). Get in on the fun, or, if you've got a big day of sightseeing ahead of you, make like the cool kids and try "tardeo". Stemming from the word "tarde" meaning "afternoon" or "evening", the term refers to the increasingly popular habit of socialising without staying out all night. Or, for a quintessential Madrid experience without the hangover, take a stroll down the elegant, tree-lined promenade of Paseo del Prado and around the 125-hectare El Retiro Park. Recently recognised as part of a Unesco world heritage site, these verdent city pockets have been popular social spots for Madrileños since the 16th century.

Retail therapy more your thing? Make tracks to Plaza de Cascorro (in the central La Latina district), home of El Rastro, the city's legendary flea market. Pick up some rare vintage kicks then round off your visit the customary way with an aperitivo in one of the area's multiple bars. You can toast your shopping prowess with a glass of wine, beer or vermouth paired with some delicious tapas such as paella or - another Madrid speciality - cod fritters.

Won't get out of bed unless there's a sangria on a rooftop with your name on it? Looking for an urban crashpad with an infinity pool? Walls lined with contemporary art? Nothing less than a Belle Époque palace? You'll find it all in Madrid, where the accommodation is as diverse as it is welcoming. Among the city's newest arrivals, you'll find the super-luxe Madrid Edition designed in partnership with Studio 54-supremo Ian Schrager, and Ocean Drive Madrid, which is so close to Teatro Real opera house, you might well hear the odd aria through an open window. Other stand-outs include the Mandarin Oriental Ritz (not least for its Michelin-starred restaurant, Deesa), the sumptuous 19th-century Gran Meliá Palacio de los Duques and the ever-cool Hard Rock Hotel.

Madrid's multi-pronged culinary heritage is such a big part of life in the city, it deserves a tour of its own. Arrive hungry and sign up for a group tapas-tasting session in central hotspots such as Madrid de Los Austrias (Hapsburg Madrid), La Latina or Barrio de las Letras (Literary Quarter). Alternatively, neighbourhoods such as Chueca, Conde Duque and Malasaña are packed with casual hole-in-the-wall places serving up big flavours. Boulevard de Ibiza near El Retiro Park is adored locally for its terraza-based all-day grazing while off-duty chefs and other serious foodies pride themselves on keeping up with hot new openings on Calle de Ponzano in Chamberí.

It's a real luxury to explore Madrid's cultural side on your own - going along at your own pace touring the museums along the Paseo del Arte (Art Walk) and discovering all the other galleries peppered around the city. Paseo del Prado (now a Unesco World Heritage site) is a good place to start. Here, you can wander around three of Madrid's top galleries: the Prado, the Thyssen-Bornemisza and the Reina Sofía, as well as the Royal Botanical Gardens, the Royal Spanish Academy, the National Museum of Decorative Arts and the Royal Astronomical Observatory. Don't just stick to the big-hitters though. The lesser-known Sorolla, Lázaro Galdiano and Lope de Vega 'house museums' and the Museum of Romanticism all make fascinating pit stops. Furthermore, avant-garde centres such as Matadero Madrid (a converted slaughterhouse), Casa Encendida and Conde Duque are certain to inspire. If you're looking for an uplifting night out, catch a musical at one of the theatres on the iconic Gran Vía or dress up and take yourself to Teatro Real - one of the world's most famous opera houses.

Nothing beats the freedom of riding around the city on a bike. Madrid Río Park, a vast green stretch along the banks of the Manzanares River, is a total must-visit. Previously bisected by the M-30 motorway, an intensive rewilding project has seen new life breathed into the site, and now kingfishers and herons are regular sightings. Keep pedalling until you reach Madrid's biggest public park, Casa de Campo on the west bank of the Manzanares. Covering more than 1,500 hectares, you'll find plenty of cycle paths to venture along as well as an artificial lake dating back to the 16th century flanked by lively terrazas ripe for people-watching.

Ditch the idea that sunsets are for loved-up couples. Travelling alone not only allows you to connect with a destination in a deeper way, it also encourages you to get to know yourself better. The best places to salute the sun going down? Try the lush Las Vistillas Gardens, the Mirador de la Cornisa look-out ledge at the Royal Palace or the area around Oeste Park, which is imbued with the mystery and history associated with the city's ancient Egyptian Temple of Debod. Dismantled as part of the International Campaign to Save the Monuments, the temple was transported stone by stone to Madrid and rebuilt over a period of two years close to the Plaza de España.

No one to tell you to hurry up while you peruse the shelves of artisanal ateliers and specialist homeware shops? Living the dream… Madrid makes things easy in this department with myriad items exclusive to the Spanish capital from capes and Manila shawls to fans, crockery, violet sweets and traditional guitars. Neighbourhoods to bookmark include Salesas, Lavapiés, Barrio de las Letras, Chueca, Malasaña, Conde Duque, La Latina and Los Austrias. The best addresses to look up are these three traditional stores: Capas Seseña, Sombrerería Medrao and Guitarras Ramírez. Also worth a visit are the city's contemporary studios helmed by next-gen artisans such as Andrés Gallardo (who works with porcelain to create earthy and animal-inspired jewellery designs) and Javier Medina whose "ecological trophies" made from materials such as bamboo make brilliant gifts to take home.

Restaurants that marry stellar cuisine with live music have been taking Madrid by storm of late. For a truly memorable dinner, try the one of the following: the friendly restaurant-cum-club Aurora, the innovative 6,000sq m Platea which offers music and circus performances, Bule Bule, loved for its gastronomy, music and cabaret acts, or Fanático, whose funky decor is worth a visit in itself (though you'll stay for the cocktails). Fan of flamenco? Check out the programme at Corral de la Morería which not only hosts the world's top flamenco artists but offers a slap-up menu in two different spaces, one of which has been awarded a Michelin star. Alternatively, hot-foot it to either Tablao de la Villa, where the fiesta of flamenco is heightened by a traditional restaurant serving time-honoured Spanish cuisine or Las Carboneras, where the flamenco is more contemporary and has a menu to match.

Where better to reflect on your soul-lifting solo trip than on one of Madrid's rooftops? Many serve food and drink as good as the views… A roll call of the city's best include: Ginkgo Sky Bar on the 12th floor of the hotel VP Plaza de España Design; Planta 9 CR7 at hotel Pestana CR7 Gran Vía; the Azotea del Círculo de Bellas Artes; Casa Suecia and the oh-so rock 'n' roll rooftop at the Hard Rock hotel. And while you're up there, be sure to raise a glass to Madrid itself. It's undeniably one of the most welcoming capitals in the world. A place that knows exactly how to put solo travellers at ease. You might well arrive alone but, chances are, you'll leave with a host of new friends.