"I don’t need a pump to run continuously. Just simply to supply water for hone usage, a shower and dishes.. I do not have anything in place now except the waterline from the spring to the house"
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Will you ALWAYS run each fixture individually or just one at a time? Makes a big difference. How many minutes per day would you say you want the pump to run to serve your needs? Dishes by hand and not dishwasher (hopefully)?
If never more than one fixture at a time, RV pump will do. They only run when you ask for water - they have a built-in pressure activated switch that shuts them off at 30-40 PSI and turns them on when you turn on a fixture and the pressure drops.
Cheap pumps will create a noticeable rise/fall cycle in water pressure as they pressure up, then shut off, then pressure up again. Kind of annoying when taking a shower. More expensive ones have bypass valving or variable speed to minimize this. Small pressure tanks help some. If you had a jet pump originally, do you already have a pressure tank?
Power-wise, you will need a solar panel, a charge controller, and a battery to fire things up. Size of the power components depends on the amt. of time per day you need the pump to run and its current draw. Pump will need a screen filter to keep sand/dirt/other crap out.
Here's what I would do as a "trial balloon" to see if this will meet your needs:
After determining what GPM you need, buy a cheap pump off Amazon that will push that. Scrounge a 12V battery (car battery will do). Hook it all up to your spring/piping/cabin and see what you think of it. The car battery will probably run the pump for a couple days of intermittent use. I ran a 4.5 GPM Flo-Jet for several days off one of those "jump start" packs (the lunchbox sized one - NOT the "plug it into the cigarette lighter one") once when it was all that I had.
If you like how things went, then invest in the solar stuff. Wear out the cheap pump and then replace it with something better.