@Codi PetersonPass on your lender, banks are allowed certain stipulations with FHA.

Do you know if I would be able to use another at the same time and would there be any additional stipulations for obtaining the loan? 

Instead of having to wait until the end of a lease or whatever other stipulation.

I would follow your localities LLT laws regarding pets, and get the animals out, and/or have them sign a new lease that stipulates when animals can be brought in, what happens if they bring one in unauthorized, and what the fees will be.

(Oh, right, I almost forgot... that won't happen this go-round).Try a straight 15-year amortization with the stipulation that after 3 years they will agree to subrogate their first position for a new (bank) refinance IF you also pay down their existing loan by, say, 30%. 

What were the fees and stipulations?

I have seen offers stipulate buyers can handle 24 hour assignable contract.

If you are told by seller of a bad tenant, or you just want it vacated, you can stipulate the unit(s) be vacant at close or notice given (in CA they get 60 days notice so they may not be out by close date) but that's the seller's task.

In court, I got a stipulated judgment for one of the tenants to leave and she was given 90 days to vacate.

Also we discussed that In our rental contract we stipulate any complaints from other tenants or neighbors would incur a fee and after the 3rd complaint the tenant would be evicted.