Just to add to the unanimous advice remember that you can fly a G reg in UK on an FAA private license. This is useful because the FAA medical is 2 yrs and can be handy if you are on a 12 month EASA medical. The currency requirement just needs a BFR with none of the 'instructor flight in last 6 months of 2 yrs signed by examiner' or whatever bureacratic drivel it is in UK. If a FAA BFR lapses you can just renew it before you fly.
Added to that, if you are going to tour in the US then the FAA course teaches you stuff that it's quite handy to know and many visiting pilots fail to pick up.