How to do lease for tenants that may not move in at same time

[Gary L.]

I am renting out the individual rooms in a property and have different people (who don't know each other) interested, but they may not be able to move in on the same day.  They should all be able to move in within a month of each other hopefully.

How do I best handle this? Can I ask each person to sign a different lease with a different starting date? I guess I could also have everyone on the lease, and set the start date to be the date that the earliest tenant can move in, and just don't charge the other late starters rents until they actually move in?