The trouble is that interconnecting rooms don't usually (ever?) show on online booking as an option - the only way we've found one is by calling the hotels directly - Raddisson at Stansted is a good example, but we've managed it in London as well after calling the hotels ourselves. That might be your best bet.
We went to a hotel on Costa de la Luz that had a 2 bedroom apartment with limited kitchen facilities. An aparthotel, will check name if you want it. Nice resort, great apartment, yet all facilities of hotel (inc indoor and outdoor swimming pools)
The Sheraton also have apartments on the complex which come under the name of Pine Cliffs. We met a few people by the pool who were in the apartments that had booked through a travel agent and they were more than happy with them.
They are timeshare apartments that you are renting though. Please don't be put off by this though.
I sound really difficult and reading this back after all the help everyone has given I would certainly think so if I wasn't the OP but I really fancy not having to self cater. I have just come back from my first ever camping experience and think thats why!
We have only recently bought it and are going for the first time this summer. We have not joined an exchange company yet. The company we bought it through do rent out weeks though, which I never thought about. Thanks Bella