If you are able to get a lower rate that what you currently have, you can save tens of thousands of dollars over the life of your loan. Also, most lenders don't charge as many fees to refinance a mortgage and depending on how much equity you have in your home you may be able to roll the closing costs into your new loan, still have a lower balance than your original loan, a lower rate, and a lower payment.
Know your credit score before you begin looking for a loan. If you can, try to remove any blemishes from your credit report before applying for a refinance.
Don't fall for the 0% apr unless it fits in with your master plan. A lot of brokers will try to get you locked into a low interest rate that will balloon on you in a couple of years and leave you out on the street.
When refinancing a mortgage, as many as 30% of homeowner's cash out part or all of their home's equity. By investing in home improvements or paying off credit cards, this can be a smart. But, if you are borrowing more than 80% of your home's value, you will be hit with private mortgage insurance, costing you hundreds a year.