Pull your credit report from the bureaus and review it for any negative items (late pays, collections etc) and inaccurate detail. Try to dispute negative items and remove them from the report. If required pay off any unpaid debt. Otherwise, you won't get a low rate and may not even qualify. Of course there are lenders in the subprime market who may offer you a bad credit refinance loan, but it's better to avoid them as they'll possible charge higher rates and fees.
If you are planning to stay in your home for several years, then you can save money by paying points for lower interest rates. You pay up front fees to ensure you have lower interest payments over the course of your loan. Remember, this only works if you keep your mortgage for several months.
Refinancing a mortgage means the owners are paying off their existing mortgage and replacing that mortgage with a new loan. Generally, the costs associated with mortgage refinancing are rolled into the loan, meaning they are added to the existing balance, increasing the loan amount.
Be Ready. After your loan is approved, you'll need to sign your loan documents and provide a check for any out-of-pocket closing costs. Make sure the funds are available in your account, and be ready to make room in your schedule to read and sign your loan documents as soon as possible.