Length: 13¼ km (8.2 miles). Toughness: 1/10
10:57 Hampton Court train from Waterloo (Vauxhall 11:01, Clapham Jct 11:06, etc), arriving at 11:34.
Trains back are half-hourly: at xx:02 & xx:31 from Hampton Wick, or xx:05 & xx:35 if you return to Hampton Court. Both stations are in TfL Zone 6.
A few weeks ago the evening walkers ventured out to the Royal Parks in south-west London to encounter wild beasts bellowing at each other, and gave the autumn rut spectacle an “absolutely fab” rating. The deer in Home Park and Bushy Park should still be in fine voice, but do keep your distance from them.
The Pheasantry café in Bushy Park's Woodland Gardens is the suggested place to stop for refreshments; you'll go past it twice so could stop for lunch, tea or both as you wish. The main route takes you back to Hampton Court station, but on this ending you now have to endure a busy main road since you're no longer able to cut through the grounds of Hampton Court Palace. I suggest taking the slightly longer ending to Hampton Wick, where the Foresters Arms is a nice spot for a drink if you're not in a hurry to get back.
You'll need to bring the directions from the L=swc.240 page.