Yep that looks like a eastern painted or it could be a midland painted. Here is a good care sheet http://www.chelonia.org/Articles/chrysemyscare.htm
I would start with at least a 20 gal aquarium. Your going to need ubv lights and a spot light over the basking spot. Zoomed turtle docks are great for a basking spot and a filter is key. With filters you don't have to change the water everyday and they are very good for your turtle. This is my 55gal aquarium for 1 baby painted eastern turtle. I have a fluval 305 canaster filter and the thing is great, the water is just as clear as the day I put it in.
