Wait to refi current home after acquiring new 3 unit?

[Geoffrey Davenport]

Hello there! 

New to BiggerPockets!

We are looking to invest soon for the first time into a multifamily property in Maryland. We plan to live in one unit and rent the other two. We have a mortgage on our current home. Mortgage interest rate is around 5 percent which we think we can get down to 3, considering the market.

Should we refi now before applying for a new mortgage on the investment property or wait until the dust settles on the new property? Not sure if that will make it harder to take out a new loan... We haven't started the process of looking for a home, we've submitted paperwork but are holding off on getting the pre-qualification. 

Any info or advice would be appreciated. Thanks!