Refinancing your home mortgage can come with some great perks. If you do it with no money out of pocket, you can skip one to three mortgage payments. You can save money on your payment or pay off your entire mortgage faster when you have better terms. Here are a few things to pay attention to when you refinance your mortgage loan, to make sure that you don’t overlook anything that you might regret, or that can cause you problems later: 1. Apply for a pre-approval to many different lenders to m.