Engine-wise there likely isn't.

HOWEVER - one must look carefully at the electrical specs to see what to do about inrush current when starting new loads vs. steady-state load.

Briefly, inrush current is the brief starting electrical load for (typically) motors to go from off to running. Inrush current can be 4 or 5 times the steady state draw and can last perhaps 2 seconds - long enough to trip a circuit breaker.

So your selection of a generator needs to take into account what loads you want to run continuously and what might be a start-stop kind of load.

Think of the movie Apollo 13 where the power-up sequence had to be carefully worked out so as to not exceed a limit. Working out this procedure may be necessary for your home. :-)