John,you can not order them off the premises but,you can encourage them to go out to lunch or do errands while the inspection is taking place.Give them a written notice on exactly when you will arrive and depart the property and suggest they find something else to do because the inspection will be hectic and disruptive to them.Offer them a gift card to Olive Garden or something to pay for lunch.

When we bought our 14 unit building a couple years ago, we just simply raised the rents. 

It's not like a loan gets paid to the seller in installments over time or can be reversed like a credit card charge, once it's approved, the seller gets the full amount and it's sold, right?

Any word of advice on repositioning the property after closing on it, raising rents on existing tenants?

.$625 might be pretty cheap for your area, which could mean you have opportunity to improve / raise rent, but it also might mean you are dealing with a tenant population that is a bit tougher to manage.

Marketing you will spend alot to raise your self out obscurity, unless you have a strong network, that you can fill their mind as the go to real estate person. 

Many applications I reviewed while developing mine asked potential tenants for bank and credit card account numbers and balances.  

How do you calculate the rent deposit when you have raised the rent.

If we don't get a lot of interest in the first couple of weeks, we can always raise it to entice more realtors to show it.

You don't have a bank holding all the cards in the deck.