When refinancing, don't take the first offer that comes around. Instead you should actively compare both interest rates and lenders.
It's better to follow the 2% Rule which suggests that you can enjoy the benefits of a home refinance if your mortgage refinance rate is 2% lower than that on your current loan. The interest savings will help you recoup the costs you've paid for the new loan provided you stay in the property for a certain period of time (break-even period). However, there are no-cost as well as low-cost refinance loans wherein the costs are included into the loan. But you can expect comparatively higher rates on such loans. Moreover, these loans are limited when the market is in a credit crunch.
Close inactive credit card accounts to improve your credit score, making you eligible for lower interest rate loans. You will need to notify the credit card companies in writing that you wish the accounts closed on your request. Next, check your credit report after 30 days to be sure closed accounts include the comment "Closed at Customer's Request." You want future lenders to know it was your request and not bad credit that closed your accounts. Also, take the time to check for any mistakes in your credit report that could negatively impact your credit score.
Refinacing your mortgage can allow you to take cash out of the equity which you have built in your home. You can pay off your higher interest debts and pay all of your debts at a lower interest rate. This will allow you to save money on a monthly basis and achieve your financial security.