I understand why I want a pure sine inverter, what I don't understand is at all where this might go or how to install it. There's a few plugs in the RV (1988 Toyota Dolphin). Initially it seemed like the way this might work was that there was a stock inverter in there somewhere, and I'd pull that out and put in a better one by connecting it in the same manner the original was hooked up, and that afterwards all of those plugs would be safe for plugging whatever I like into.
Based on searching around, I'm not sure my initial understanding was correct. If it's not, maybe someone could point me in the right direction for how I'd do this in my motorhome?
Also, it seems like when I'm plugged into shore power, I don't need to worry about this because the inverter is being bypassed. Is that correct?