Are back to back trips easy to come by or are they much coveted?
At the moment in the normal process the company do not produce back to back trips that you bid for. Individuals create them ad-hoc, either by a combination of stage 1 and then stage 2 bidding or by trip swopping after final rosters are produced. Under EASA creating legal back to backs has become much more difficult than was the case before (basically nowadays the first trip of the pair has to involve a <= 3 hour time zone change from London, which restricts options).
Do the company provide accommodation between trips?
At the moment assume the answer is no. If you do manage to create a back to back, you pay for it.
When/if people start working pre-constructed back to backs (as previously debated) then for
some trip combinations the company will have to provide accomodation - at the moment we're being told that's probably not going to happen until the introduction of JSS late next year.
As far as LGW is concerned, you may get a sniff but there's a certainly hard core who like the beach...