Length: Length: 17.2 km (10.5 miles). Toughness: 1/10
9:54 South Western Railway train from London Waterloo arriving West Byfleet at 10:21. If you miss the train, catch the next one to Byfleet and New Haw, turn right out of the station, and walk along the road for 1km, and join the canal by a road bridge (see map for details).
Buy a return to West Byfleet. This covers all but the short Hampton Court to Surbiton part of your return journey, for which you can use Oyster or contactless if necessary. (Hampton Court is in Zone 6).
Return trains from Hampton Court to London Waterloo are at xx24 and xx54
If you want a break from overly muddy winter walks this one should do the job as it mostly follows canal towpaths and riverside paths. There are plenty of pubs along the way - too many to list here so take a look at this walk's web page and perhaps call the pub of your choice at the start of the walk. The first possible lunch pub is the Old Crown at Weybridge 01932 842844, with several more at Walton Bridge and beyond. At the end of the walk Hampton Court has several pubs catering for tourists and cafés and tearooms for tea.
For full details and to download your copy of the directions see the L=swc.45 page.