Ill give you a bit of a head start when it comes to inverter selection...
I have a 12 volt 500 watt version installed in my Silverado specifically for things like you mentioned. Even 500 is more than I need, I could have went with the 375 for my use case.
Victron VE Direct Inverters
These are excellent, pure sine, and efficient small inverters. I have plans to install a 24v version in my 4Runner which is powered by a custom made 24v lithium battery bank.