Kip,
For a residential style plug, as you mentioned, here is the typical one, and the one I use. The typical "residential" style plug is rated for 15 amps and will work fine as long as you don't try to run two large loads at the same time.
Battery charging and
microwave should be fine,
lights and coffee pot should be fine. Electric heater and
microwave will be too much. AC and anything else will be too much. In fact the AC can overload a 15 amp plug by itself, but is probably OK.
This style of plug is called a 15 amp plug, but in homes is connected to a 20 amp circuit breaker, uses #12 home wiring in the wall and is a 20 amp circuit. It is safe for low loads in the trailer.
This is a nice one with a screw on ring to hold it. You'd use a #12 extension cord to the
generator, or a house plug at home, after plugging this into the trailer.
https://www.amazon.com/PinShang-12in...tronics&sr=1-5
This is a very simple one, and just fine too. You plug this into the
generator and run the trailer shore tie cord to this adapter. Or you plug it onto the trailer and use an extension cord to a household plug.
https://www.amazon.com/Adapter-Femal...tronics&sr=1-4