If you will be moving into a 2 bedroom and they are available, your sponsor may be able to get the keys and move you right in. Definitely ask him/her.
TLA will have pots, pans, dishes, etc and if you're in one of the ones for pets, a washer and dryer, too, so all you should need is clothing and if you have kids, some favorite toys. Summers are warm, so only pack light clothing. If there are products you really like, find out if they're sold here so if they aren't you can bring some with you or pack them out. The library on base has computers you can use, but if you bring a laptop they also have Wi-Fi outside when they're not open.