I can't help but almost to the day we are looking for the same thing, although from Newcastle. My husband reckons the balearics are the cheapest (about 300 pp) right now. Think we found that at teletext holidays.
Ok put your basic details into lastminute, then on the results page 'refine' search and add all incl. Sort by price and you get a week in Gran Canaria for £1134 all inclusive from Birmingham on 24 July.