Is there a certain day I should close escrow on?

If you are a buyer, the best strategy is to close escrow on any day Tuesday - Friday.

For example, have the lender fund your mortgage loan on Monday, close on Tuesday.

Or have the loan fund on Thursday, close on Friday.

Avoid having the lender fund on Friday, pay interest on the loan over the weekend, then close escrow on Monday.

There is no point to pay interest over the weekend on a home you technically don't own yet!