These days most people request a Good Faith Estimate (GFE), but have no clue what to look for on the GFE. Make sure you request a GFE that has ALL fees estimated and disclosed. This includes: origination points, processing, lender, appraisal, title, escrow... ALL FEES... especially the Yield Spread Premium or YSP.
Homeowners who want to refinance but can't because they owe more on their home than their home is worth (also known as "upside down") should focus their time and energy on making more money. Adding a part-time job or starting a side business will bring extra income into the household, income that can be used to make extra payments a mortgage.
When refinancing, don't take the first offer that comes around. Instead you should actively compare both interest rates and lenders.
If you do not plan on staying in the house very long, refinancing may not be in your best interests.