My only recommendation is to get your BA first before joining. I know some people who joined before finishing and they've found it hard to promote up to officer. You don't need that unnecessary roadblock because in order for promotion they may throw you in for a loop - minimum time requirements per level or deployment first, then promotion. Off-base housing and tuition-reimbursement are the only money problems (I think) at the closing navy base in Corpus Christi, Texas. Transferring around shouldn't be a problem as long as you mention it beforehand and request it whenever the time comes. if you are a great worker bee they might not want to but if you are just the average worker then they'll probably let you go whereever you want. What can I say - everyone likes to keep the good ones!
As for those recruiters, they do have a bit of sales puffery goin' on. The best inclination is to go ahead and talk to actual members of the base you will be at. if they like it/enjoy it, you should be fine. Ask them specific questions. Many of them like to enjoy a night on the town in the local area around the base since many of them are single so finding one to talk to should not be too hard - although, if they're interested in something else or they're busy and don't want to talk about it you should probably look elsewhere. Most are willing to talk about what they're doing, though, because many of them get lonely in their barracks, etc.
Lastly, you should have an inklink of what you want to do in the service - like work in medical, communications, aviation, etc. You will be placed in a specific job that fits you right.
