resorts do vary a lot in turkey, so have a good read up on the boards. is a nice sandy beach important to you as a lot of beaches in turkey are shingly or very stoney, we found the beach very stoney in turgutreis last year, and you had to wear beach shoes as it was so painful to get in the sea, i wish we had known about this before i booked it, especially for my daughter as she wouldnt go in the sea.
ive never seen any trampolines in turkey doesnt mean to say there isnt any, might be i just havent noticed them. the resorts we like are icmeler and olu deniz.
icmeler has a good selection of bars, restaurants etc, nice views although the beach is slightly shingly, marmaris is about 10 mins away and has 2 water parks for the kids.
olu deniz is very scenic with a great lagoon which is sandy and you can either walk or get a free beach mini bus, the main olu beach is slightly shingly. this is not as big as icmeler but in my opinion better scenery, hisaronu is 5 mins up the road in a dolmus for more shops, bars etc. theres a hotel that allows you to use their small water park for a fee. olu deniz is nearer to dalaman airport about 36 miles away
i highly recommend lykia world, its wonderful for kids, 19 pools, a water park, great entertainment, kids club and the best food ive ever had in turkey. its quite dear but there are lots of options to book it, from packages to various diy. ive just booked to go in oct with monarch hotels as diy and got an excellent price. its about 1.5 miles outside olu deniz. have a look at this link and good luck with where ever you choose
http://www.lykiaworld.com/Cultures/en-US/Default.aspx