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.
Start with your current lender. If you're a good customer-you hold a sizable mortgage, pay on time, and maintain good credit-your existing lender will probably do everything in its power to keep your business. The company may cut you a break on fees for things like appraisals, surveys, and inspections if the information is current and you meet other requirements.
Mortgage can last a lifetime and that extra 1% can add up to literally thousands of dollars over the years. I have friends that are in their 70s and still paying off their home loans. It'll pay off in the long run to make sure you find the best deal possible. Don't let poor credit stop you from refinancing your home.
If you have equity built up in your home, and you need cash, you have two choices: get a home equity loan or utilize cash-out refinancing. Each has its pros and cons, so be sure to evaluate your situation carefully prior to making a decision.