Hooking up to a well

You would connect the same way as if you were in an RV park.
Now lets go with some concerns.
If you have a well setup that requires a pressure tank, get install before connecting.
If you have a variable speed submersible pump, you are better off. The pump will turn to provide water closer to what the rig's is require for the number of faucets.
Get a good quality pressure regulator. Connect it to the water spigot. When the pump with pressure tank runs it could have pressure switch setting too high for your RV.

Get the well tested first and then test the water quality. Ask the well tester what size pressure tank he recommends assuming the well is good. I do not know about your state but here in NM you must also transfer the ownership of the well to your name with the state engineer. Here the well ownership does not necessarily transfer with the land title.

In Florida the county health dept does well water testing for free, so you may want to check on that before paying. Call them and see what sort of sample the want and since you are not in FL see if they do this. If not ask them to recommend a lab. Do not use Calgon or some other such testers. The big thing they will check besides basic chemistry is for coliform bacteria which will reveal if your well is too near a sewage source.

I was an environmental chemist for 32 years and I have no idea why you would ask them about plumbing issues, aka expansion tank size. That's a question for the well driller to answer. Or just look on Youtube

For a permanent installation you should have a PVC pipe for the well pump discharge, get rid of the hose.
This pipe connects to a well pump tank. The pump is cycled as needed by a well pump pressure switch, switch is controlled by the pressure in the tank, typical 30 to 50 psi is all that is needed.
There may be variations depending on how deep the well is, shallow well, jet pump or submerged pump.
Of course all this needs tp be in and insulated pump house to keep from freezing.

Tanks have a diaphragm, air loaded on top and water below, come in all sizes. For just a TT a 15 gallon tank should work. Remember, when the pressure drops in the tank because of use the pump cycles on to maintain pressure
Tanks:
https://www.amazon.com/Amtrol-WX-203-Well-X-Trol-Stand-Water/dp/B0057P1AP2/ref=asc_df_B0057P1AP2/?tag=hyprod-20&linkCode=df0&hvadid=167154783287&hvpos=1o7&hvnetw=g&hvrand=13455359695434987612&hvpone=&hvptwo=&hvqmt=&hvdev=c&hvdvcmdl=&hvlocint=&hvlocphy=9027391&hvtargid=pla-309461322382&psc=1

could be as simple as this for a shallow well
https://www.homedepot.com/p/Superior-Pump-1-2-HP-Shallow-Well-Jet-Tank-System-With-24L-Tank-94525/302330531

Find someone in your area that drills or services wells and well pumps. They will be your best source of information about local requirements. Normally, a well is pumped into some type of holding tank, with necessary pressure switched to maintain a set pressure without having the pump run all the time. These are usually located in a weather proof structure somewhere close to the actual well. Direct connection to the well pump is usually not recommended, due to whatever pressure is available at the wellhead. So, best to find a local authority, and have the installation done properly.

I hope you have checked zoning to be sure you can legally live in a trailer on the lot. If you are surrounded by other trailers you are probably ok. If that lot had a well, septic, and power installed for a house, you might be out of luck.

The well cap may have some information stamped on it about the well depth and the driller's contact info.

The well may already have a pump in it!
OP: what is your information about the well?

You would need to know if the pump is wired for 240 volts or 120 volts. It could be either. If you can determine who installed it, they should be able to tell you. Ditto the previous owner.

The advice to hire somebody who knows what they are doing is good advice.

What does voltage have to do with the OP's setup? He has an electrical service and is not running off the rig.