Paul’s place is lovely and really near to the tube that goes to Heathrow.
Even if you need to take an Uber it isn’t far from the city... just about 30 pounds. If you want just to chill, there is a living room just for you with a TV, which we used since we went during Storm Dennis and wanted just to rest at night after a stormy day walking around. :) you should definitely go for Paul’s place.
Besides all of that, Paul is good craic and a total gent!