How to raise under market rent for a 4 plex in Bridgeport?

[Kevin L.]

I am closing on a 4 plex in Bridgeport, all units are 2 bed 1 bath, and the current rents are under market at $600 against a fair market rent of 1200+. All other 2 beds in the neighborhood are renting for 1200+ so I know it's a fair price.  

I will be introducing myself as the new landlord soon and I'm nervous. I was thinking to increase rent by 200 over the course of 3 months to get to fair market price. They are month to month and are free to leave which is even better because I would like to renovate the place 1 unit at a time.   

Does anyone have experience handling raising under market rent?