Tenants wanting keys day before lease start

[Kosh Vokter]

Tenant requested that they receive keys 5pm the day before the official lease start date. They wanted to move in and get a head start moving on Friday 5pm, since the actual lease start date is a Saturday. I would be open to it, but want to make sure there won't be any liability problems. The renters insurance would begin on the day of move-in i.e. Saturday, should I ask the renters insurance to take effect on Friday instead of Saturday? 

How do you normally get the 1st month rent on the day of move-in?  Can I ask the rent to be deposited in the bank account on Friday so that it's deposited before I give them the keys instead of getting a check from them?