It’s nicknamed the Eternal City for a reason. In Rome, you can drink from a street fountain fed by an ancient aqueduct. Or see the same profile on a statue in the Capitoline Museum and the guy making your cappuccino. (Which, of course, you know never to order after 11 am.) Rome is also a city of contrasts—what other place on earth could be home to both the Vatican and La Dolce Vita?

The largest city in Switzerland is a major contemporary art and shopping destination. Important artworks are displayed in the Kunsthaus and the Rietberg Museum. Those who consider shopping an art can hone their skills along Bahnhofstrasse and Niederdorf. Chagall's stained-glass windows in the Fraumünster amaze. Zurich's 500 clubs and bars, including several in swimming pools, pulse with life till the early hours. This city on Lake Zurich has excellent public transport and a free bike-hire system.

Everyone who visits Paris for the first time probably has the same punchlist of major attractions to hit: The Louvre, Notre Dame, The Eiffel Tower, etc. Just make sure you leave some time to wander the city’s grand boulevards and eat in as many cafes, bistros and brasseries as possible. And don’t forget the shopping—whether your tastes run to Louis Vuitton or Les Puces (the flea market), you can find it here.

From Shoreditch’s swaggering style to Camden’s punky vibe and chic Portobello Road, London is many worlds in one. The city’s energy means that no two days are the same. Explore royal or historic sites, tick off landmarks from your bucket list, eat and drink in exclusive Michelin-starred restaurants, enjoy a pint in a traditional pub, or get lost down winding cobbled streets and see what you stumble across – when it comes to London, the possibilities are endless.

Cheltenham was just your average, sleepy town until the discovery of a spring in 1716, after which it became Britain's most popular spa town. (Like Palm Springs without the casinos.) Local Cheltonians have a reputation for being wealthy and respectable, and a walk along the Promenade will give you a first-class view of their wonderful houses, shops and gardens. After taking in the waters at the Pittville Pump Room (great name for a spa), check out the Art Gallery and Museum to learn about the social history of Cheltenham.

Known as the safari capital of Africa, Nairobi is an energetic, modern city that serves as a fascinating introduction to both wildlife and nightlife. Music clubs pulse with life, shops and markets bustle, and a mélange of restaurants will tempt your palate in this former Maasai watering hole. Top sights include the Karen Blixen Museum, Giraffe Centre and the black rhinos of Nairobi National Park. The compact city centre is safe to walk in and taxis make other areas accessible.