They are all near garden squares with courts to fine-tune your tennis skills – or just enjoy Pimm’s and strawberries on the lawn.

Belgrave Square, London SW1X

http://www.henryandjames.co.uk/property?id=5851509A7E7CE

Historically the home of aristocrats, politicians and embassies, Belgrave Square is a big hitter in the London property market. The tennis court in this, one of the most majestic of the city’s squares, is exclusively available to its residents and other select Belgravians who have been granted keyholder status. If you buy this Halkin Place property nearby, you will be eligible to apply for garden access. You will also have a grand seven-bedroom property in a prime location. It is on the market for £12.95m.

• For more details, visit http://www.henryandjames.co.uk/property?id=5851509A7E7CE

Eaton Square, London SW1W

http://www.henryandjames.co.uk/property?id=58A5B6539BFA4

This eminent garden square has always captured the imagination of creative types and authors. Anthony Trollope, Henry James and Jeffrey Archer have all used it in their novels. More recently it was the address of choice for Lady Rosamund in Downton Abbey. This third-floor lateral flat offers you the opportunity to enjoy a volley before vol-au-vents with your neighbours. It is on the market for £2.675m.

• For more details, visit http://www.henryandjames.co.uk/property?id=58A5B6539BFA4

Cadogan Square, London SW1X

http://www.henryandjames.co.uk/property?id=573B27E12EA3A

Lined with tall, red-brick townhouses and imposing mansion blocks, this square has been home to Flavio Briatore, the Formula One tycoon, and Theo Fennell, jeweller to the stars. “One of our clients was a famous tennis coach on the circuit, who bought a property in Cadogan Square, so he could offer lessons in this beautiful garden,” says James Bailey, Chief Executive of Henry & James. Residents have access to the gardens they overlook and those at neighbouring Cadogan Place. Both boast tennis courts. Henry & James has a bright, light, second-floor apartment with two bedrooms for sale (£1.795m) in Cadogan Gardens.

For more details, visit http://www.henryandjames.co.uk/property?id=573B27E12EA3A

Cadogan Place, London SW1X

http://www.henryandjames.co.uk/property?id=55FACCAAE666A

The garden kingdom in Cadogan Place is an idyll of two halves. One part has leafy and secluded tennis courts where you can take lessons with a pro. The other part is complete with a beautiful pergola, buxus hedges and old Mulberry trees with lawns for relaxing on warm summer days.

St Leonard’s Terrace, London SW3

http://www.henryandjames.co.uk/property?id=4FB138207F6B6

Burton’s Court is a private garden belonging to the Royal Hospital in Chelsea. A lovely area of open space, it has three tennis courts and a cricket pitch. If you can secure a membership pass, you’ll be able to swing your racket in style. Join an academy to brush up on your match skills and play here or in Ranelagh Gardens. St Leonard’s Terrace is surrounded by some of London’s most attractive stucco-fronted properties. The area comes to life in springtime with beautiful wisterias, magnolias and camellias. This four-bedroom family home in Sloane Court East nearby, can be rented for £2,600 a week.

• For more details, visit http://www.henryandjames.co.uk/property?id=4FB138207F6B6

Eccleston Square, London SW1V

http://www.henryandjames.co.uk/property?id=PL101458

To complete our Grand Slam, this garden boasts the national collection of ceanothus – 60 bushes with their bottle-brush flowers in dazzling shades of blue. These give way to roses at this time of year and the garden will be open on June 18 between 2pm and 5pm. If you want to play tennis here, you have to be a key-holder, so why not rent this two-bedroom maisonette on Elizabeth Street. The flat can be rented for £975 a week.

For more details, visit http://www.henryandjames.co.uk/property?id=PL101458

• For more information on the Open Garden Squares Weekend (June 17-18), visit opensquares.org.

• The Wimbledon 2017 Championships run from July 3 – July 16 (wimbledon.com).