In regards to doing your PPL in the UK let me give you some tips from experience. Find a club that is in tune with your thinking about how long you want the PPL to take. Look them straight in the eyes and get them to agree to a date for completion subject of course to your ability. If they start hedging their bets then I would look elsewhere. I speak from experience on this. Having done 20 hours at a NW London school many moons ago and on my 3rd instructor I was continually going over the same stuff and paying through the teeth for it. I was ready to go solo after about 10-12 hours but had an instructor that would make me fly dual if the weather was marginal for fear of losing cash by cancelling the slot on the day. Added to this were the usual cancellations for weather/hangovers of instructors/aircraft tech/fire engine broken so field not legal etc. I finally gave up and went to Florida and did the whole thing in 3 weeks flying twice a day. Did wonders for my confidence and I ended up consolidating my flying by taking more holidays a short time later and burning 100 hours. Your wish to learn in the UK is commendable but don't let it get in the way of you completing your PPL in a reasonable time frame. Don't be afraid to pull the plug on it and hop on a plane if you get stuffed around by a club either. On returning to the UK with my nice shiny licence I knew I would have to do a checkout and familiarisation. I found a nice friendly club and enrolled on an IMC course. Rather than just paying an instructor for checkouts I had rationalised that I might as well get some proper instruction for my money so the IMC made sense to me. There were added benefits for another jaunt back to the US as it enabled me to hone my instrument and navigation skills as well and give me much greater confidence bimbling around the deserts knowing 100% where I was rather than relying totally on VFR maps and picking obscure landmarks etc.
With the weather changing you have probably chosen a not to bad time of year to be starting although just remember that every other club member will be thinking the same and dusting off their flight bags ready for a bimble around the skies. Book up loads of slots months in advance and if you can try and fly a couple of times a week at a minimum so that you don't find yourself forgetting what you did last lesson and having to reconsolidate. Good luck.