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=1could 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