I would agree Icmeler would probably be a good first choice. It's very popular with families without being over the top. Would also say that if you choose self-catering you don't have to spend a fortune. Eating and drinking out is relatively cheap, and if you have your own facilities you can always stock up and keep ice-cream in the freezer, and drinks in the fridge, and eat lunch in your apartment. There are so many lovely restaurants for dinner in the resorts, and they really need the tourists at the moment. If you do decide to go all-inclusive though, would advise that you go in a large hotel that's all set-up for all-inclusive, not just a small cheap one that has tried to jump on the bandwagon. We have talked to people who've stayed in cheap AIs' and have ended up spending more money eating out, because the food was so bad.
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Apartment rental in beautiful area of Turkey, perfect location for a wonderful holiday
http://www.turunc-apartment.co.uk