I live in Turkey, on the South West coast, with my DH, who is Turkish, and my DD, who will be 3 in December. My DH's parents live in Antalya, so I know it fairly well.
Hopefully you'll be able to rent a place furnished. Even if the furniture isn't to your liking, my advice is to put up with it for a couple of years (after about a year you'll cease to notice that you don't like the design of the sofa, or the colour of the walls!) and then think about shipping furniture over. I didn't bring over any furniture, but I did bring a load of other stuff that I thought I'd want to have around me (like candlestick holders, and rugs, and fancy wine glasses, and cushions that I was particularly fond of - seems ridiculous to me now!) all of which I could easily have done without. It's amazing how little you do actually need in life.
Just bring the clothes that you all need, and anything your daughter needs. Children's clothes here are quite expensive for what they are, and children's shoes aren't measured like they are in the UK, so I'd bring enough clothes and shoes to last her for a year. Also toys - you can buy most things here like little tricycles and dolls etc but you might want educational toys which speak English, if you see what I mean. There is a Mothercare in Antalya, but it's not stocked like the UK ones (although I think you can order from their catalogue) but it is slightly more pricey than the UK.
Bring a couple of decent recipe books. You'll be doing a lot more cooking from scratch here than you do in the UK - there's very little in terms of ready-meals - if you want a chicken pie, then you start by measuring out the flour and rubbing in the butter to make the pastry!
And as for the language - your DD will pick it up at the speed of light, and you will learn as she does. Since mine was born I've learned all sorts of obscure words that I hadn't been using in daily life, and had never needed before, like 'timse', meaning 'crocodile', and 'kucak', meaning basically, 'pick me up and cuddle me'!!
Am more than happy to answer any other questions you might have.