1) Get a Mortgage Broker - They can check Mortgage Refinance Rates at Several institutions at no additional cost to you.
2) Check Your Credit and do what you can to fix it - Bad Credit Mortgage Refinancing is a little easier if you score a couple of points higher by correcting the items that you can.
3) If you have the time follow interest rates. Interest rates will stop going down after four months of consecutive increases in Inflation - The Fed will ease its Treasury Repurchase Program.
4) Check with your bank. Don't commit but check with your bank they may give you a better rate because you are an existing customer.
5} Good Mortgage Refinance Advice comes from someone who is not trying to sell you something.