Easiest way is to add a 30 amp RV outlet wired to the inverter. By doing so, you'll avoid the extra expenses of a automatic flip-flop device. You'll also know it's wired to all outlets, so you can plug into outlet for 110 vac. In fact I'm most ways it's just like shore power.
EDIT: you won't forget to disconnect from shore power either as your cord will be plugged into the outlet on the camper.
BUT, a couple of things to be aware of. 1-you'll have to turn off the breaker to the converter. You are using solar, so you probably already done that. 2- you will need to turn the fridge and hot water heater to gas only. 3- keep the inverters as close as possible to the battery and run the 120vac cord to the outlet for minimum voltage drop and expense.
2000 Cherokee 29BH with 6V batteries, LED lights & 400 watts of solar power, flipped axles and raised. 2007 Tundra 5.7L DC-LB with lots of mods. C-co, 8/158th AVN Maint.