Group of 4 people. Going from London to Edinburgh and coming back after 1 day. We have 2 days after return in London before we fly back out of UK. We want to spend 1 night in Bath after returning from Edinburgh. Dont really want the hassle to check into London for 1 night then go to bath overnight and then back into london for next night before we fly out early morning. Is it possible to fly out to Bristol direct from Edinburgh and then proceed to Bath for overnight stay. How far is Bath from Bristol and is this a good idea?