Without reading all the replies above......
We have a 2000 watt Tripp-Lite whole house inverter in our Phoenix Crusier. When the motor home is at home not being used, I kill the power to the entire house through the main kill switch by the entry door. Otherwise the batteries will drain fairly quickly. With the power killed, nothing will function yet there is still a very minor drain on the batteries, so I put a 4 amp charger for a day or so on the batteries once every-other month to compensate for the minor drain.
If I was storing our rig off site, I would store the rig with a full charge and disconnect the batteries.
The inverter charges the batteries when the rig is plugged into shore power or when the generator is running, but the charge is a lower "maintenance" charge. With heavily drained batteries, it takes a day or two to bring them back to full.
We dry camp a lot so when I need to charge the batteries quickly, I use a secondary 40 amp charger running off the generator as seen below. This so the genny run time is greatly reduced. Driving the motor home will also charge the batteries quickly, but if parked a lot through the use of a tow vehicle, I can't rely on that one.
There are a lot of other points to consider with an inverter. If you go from RV park to RV park, it's a no brainer....just enjoy the conveniences of the inverter along the way. But if you dry camp a lot without shore power, you have to watch things closely. Our inverter turned on sitting idle will draw a whopping 12 amp hours. Because we rarely have the benefit of shore power, we developed the habit of turning on the inverter only when we need 110V like making a pot of coffee or watching a late night movie. This to conserve our battery reserves.
