You can ask for a copy of your settlement cost papers (the HUD-1 form) one day in advance of your loan closing. This will give you a chance to review the documents and verify the terms.
Ask the company carrying your current title insurance policy what it would cost to reissue the policy for a new loan. This may reduce your cost.
Be Prepared. You'll probably be asked for more information and documentation after you submit your application, but before your loan is approved be prepared to document your income and assets. Answer any questions and fax documentation to your loan representative as soon as possible.
You can also save money on your mortgage refinancing by paying "points." This is a fee that effectively lowers the interest rate of your loan. If you plan on staying in your home for a long time, this long-term strategy can be an excellent way to save thousands of dollars.