To begin, that's probably not me.
If you're using an agent then they should be able to guide you in the process, otherwise you should get a move in inspection, make sure the deposit if any is spelled out what happens to it, must consider all possible situations.
Ensure the house is not in some kind of default and continue to monitor throughout the lease period.
Ask if the owner has any bills from electric gas, etc to include those expenses in your budget.
I assume you check out the neighborhood to make sure it fits your needs and desires.