If you are refinancing from one ARM to another, check the initial rate and the fully-indexed rate. Also ask about the rate adjustments you might face over the term of the loan.
When it comes to lowering your rates you will need to weight the benefits of having a lower rate vs. paying points up front. You may end up paying a lot more depending on your choice and how long you plan on keeping your mortgage.
Use a mortgage broker. A mortgage broker will show you mortgage products from different banks and mortgage providers. Pick a mortgage broker carefully. If the broker works directly for a company that offers financial products, make sure he shows you clearly why one of these products is better. Mortgage brokers also get a commission on their sales. Find out what the broker's services include and if he charges any fees. Many brokers do not charge fees beyond their commission. Also check the broker's credentials.
Ask the lender or broker for a comparison of the up-front costs, principal, rate, and payments with and without this rate trade-off.