You may ask the lender to cancel PMI when you have paid down the mortgage balance to 80 percent of the home's original appraised value. When the balance drops to 78 percent, the mortgage servicer is required to drop the PMI. ... Simply multiply the purchase price of your home by 80 percent.
source: google
He does not have PMI. He has FHA MI and because he bought two years ago, the MI cannot be canceled.
OP should talk to a good mortgage broker (get referrals) and some banks. A few credit unions are good at mortgages, many are not. Stay away from Lending Tree and similar lead aggregators. You will get a lot of calls from uncompetitive small brokers. Quicken and it's subsidiary, Rocket Mortgage, are high priced and sleazy to deal with.
A good place to start is online at aimloan.com. That should give you a rough idea of rates and terms, as long as you use accurate information on the form.