phase matching power supply circuit
The power feed to you home will almost certainly be 120V/240V single phase.

You will normally require a transfer switch to totally isolate the commercial power feed from your generator, to prevent your "home-made" power from feeding out to the commercial power grid, potentially endandgering the power company's technicians.  This means you can use either commercial power, or your generator to power your home, but not both at once (then you don't need to worry about phase synchronization).