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.
There is no such limit on the number of times you can go for home refinance loans. Most lenders prefer that you have no late payment for the past 12 months before you switch over to a new loan.
Give yourself plenty of time to close. With most refinancings, your file is turned over to a closing or title company, which dictates the closing details. Like the lenders themselves, these firms are swamped when interest rates are low. Moreover, appraisers get backed up and can be difficult to schedule. So don't expect the closing to happen as quickly as anyone promises.
Refinancing can be the right move to improve your financial situation, but be careful. Making the wrong move can put you much worse off. Smart and simple choices will go a long way toward keeping you financially secure.