Avoid rocks lane Chiswick, especially during the winter.
Your main (indoor) centres will be any of the Rocket clubs (Battersea, Beckton, Ilford)
Padium (Canary Wharf)
Racketeer (North Acton) - has a gym as well
Stratford Padel Club (Stratford)
Padel Box (Bermondsey)
Expect high pricing. Padium and Rocket Battersea are the most expensive.
Padel Mates seems to be the way the majority of clubs in London are going. IMO it’s better than Playtomic but there’s a slight difference in levels. 4 on Playtomic = 4.3ish on padel mates.
Lots of good UK based padel shops. Everything padel, pdh sports to name a couple.
All the clubs will have WhatsApp groups, though padel mates also has a community page which is very similar where people can post their matches etc