If you need 220v for the Geo pump then you want to make sure the gen you pick has 220v. Using the same gen for camping will only give you 1/2 of 220v gen's rating. A 5,000 watt 220v gen will only give you 2,500 watts on the 110v side. These gen's are normally very noisy for camping. You would need 220v at home for an elec range, clothes dryer, elec water heater and maybe a water pump.
You can't run everything without a large gen. Camping with a gen is good lesson in power management. I have to watch what's running even with a 3,000 watt gen. I can run the AC and microwave at the same time but I have to make sure the fridge and the water heater are on gas. Most of the time without AC and using propane for the fridge and water heater I never run into any problems.
I had 3 trailer plugged into the gen once. We each had coffee makers going and all was well, until my niece turned on a hair dryer. Any thing with a heating element is going to eat up capacity quickly.
Try to keep a camping gen in the 60 db range. You'll be happier and so will the neighbors.