Should be plenty of ideas on this, like gasoline outperforms propane.
https://www.mygrandrv.com/forum/showthread.php/10431-Good-generator-recommendationshttps://generatoron.org/best-rv-generator/For a generator that could be for both camper and house, I think you'd have to have at least 2 generators that could be joined together to add their power together to run essentials in the house during power outages(lights, frig, freezer, TV, Computers, small window A/C) and be light enough to carry.
Weight becomes the problem when trying to get more powerful generator.
Several years ago, about the time of Hurricane Ike, I went with a larger wheeled 6000 running watts generator for home during hurricane/extended power outages.
I think 6000 watts is about the smallest amount of power I'd want for home, but the generators are the big heavy wheeled ones.
I went with 2 smaller 75lb 2000 running watts Yamaha EF2400is that I can just lift myself to load in pickup or camper.
I later added tri fuel propane/natural gas/gasoline kits to these b/c when I really wanted them to run they didn't(carbs needed pulled & cleaned, or jets replaced), even though I'd used fuel stabilizer.
I'm not disciplined enough to do monthly generator run tests. I think if I ran them weekly on gasoline with fuel stabilizer I'd be just fine.
My EF2400is looks pretty much like this, just has 90 degree and quick connect on propane/natural gas regulator.
Gasoline out performs Propane or natural gas for producing power. https://www.ar15.com/forums/t_10_17/660331_Any_personal_experience_with_trifuel_generator_conversions_.html
Some generators are for sale dual fuel, most of the smaller 2000-3000 watts have had the dual fuel conversion added.
If buying generators today I'd look at Honda(supposed to have best starting surge capacity for A/Cs), Champion Power, Yamaha.
Champion Power Equipment 100165 7500 Watt Dual Fuel Portable Generator with Electric Start
https://www.tractorsupply.com/tsc/product/champion-power-equipment-6750-8400-watt-lpg-9375-7500-watt-gasoline-dual-fuel-electric-start-generator-carb-complianthttp://www.homedepot.com/b/Outdoors-Outdoor-Power-Equipment-Generators-Portable-Generators/Dual-Fuel/N-5yc1vZbx9nZ1z0v0r0Champion DUAL-FUEL 2800wt Running / 3100wt Peak Digital Inverter Generator, Electric Start, RV Ready, Parallel Capable, CARB & EPA Certified, Low Decibels
https://www.costco.com/Champion-DUAL-FUEL-2800wt-Running--3100wt-Peak-Digital-Inverter-Generator%2c-Electric-Start%2c-RV-Ready%2c-Parallel-Capable%2c-CARB-%2526-EPA-Certified%2c-Low-Decibels.product.100284958.htmlhttps://www.motorsnorkel.com/generators.htmlOomkin