I live in Swansea, which is just around the corner, and the Gower is utterly fantastic! So so sooo beautiful (the first place in Britain to be declared an area of outstanding natural beauty)
I don't know much about accomodation but have a look here and it might give you a good start.
As for attractions - there are loads! Lots and lots of beautiful beaches - Rhossili especially, but that may be quite difficult for you as there are a shedload of steps to get down to it and it may be hard to negotiate with a pram. Three cliffs bay is also beautiful, as are Oxwich, Port Eyenon and Llangenith - these are all great beaches with loads of sand.
There's also bracelet bay, which are more rocky beaches and are fab for rockpools and skimming stones.
The Gower heratage centre is worth a look for your DD, and there are lots of Pick Your Own fruit farms which are good fun too.
Further into Swansea, there's a Lido which is free, and great for little ones - the splash pool is relative shallow so fairly safe, and it's right by the main swansea beach. The land train goes from there too, up and down the prom - goes as far as mumbles where you have lots of quirky shops andJoes ice cream parlour, plus a park and gardens, and it goes down to Singleton boating lake where you can hire boats out on the lake and theres a crazy golf and a park too.
The leisure centre, The LC2, is good for when it's raining. There's lots for children to do - splash pool and slides, and theres also a big soft play in there too.
Gosh, i sound like an advert, don't i? 