For 5 and a half years I was in apartment management and I always loved when people asked questions so please do not be afraid to ask them.
I will just lift off some of the basic questions
How long is your lease?
if you have pets - do they accepts them?
how much is the rent?
how often are rents increased after the lease is up?
can you sign a new lease after your lease is expired?
what kind of amenities do they have ( such as a pool or weight room) ?
how much is the deposits?
What utilities do they cover?
How much do the utilities that you cover on the average cost.
what are your neighbors like? ( legally they can not go into great detail about this but they might say a little bit) ?
Is there covered parking?
can you see the apartment before you put a deposit down? ( I was always amazed when people would rent an apartment sight unseen)
How quickly does your maintenance team get to maintenance requests?
What is your screening criterion? Point blank as them about criminal background checks of they do not do this you do not want to live there?
Ask how often the police are at there apartment complex and then the most important thing is to not make a decision right away and go home and call the police and give them the address to the place your wanting to move they should be able to tell you what kind of calls they get and how often they get them. DO NOT MOVE INTO A PLACE WITHOUT DOING THIS?
I hope this helps
Misty