No pump needed
As discussed before: a water pressure regulator is mandatory on city water. I put it on a 90 degree elbow at the trailer hookup so I have the full pressure (flow) available to the regulator/trailer. The plumbing in your trailer is setup for the ~30-50 psi range and city water can go up to 100 psi.
You will love using the toilet at night without the BRRRRRrrrrrrr noise.
If you notice your fresh water tank filling up you have a check valve issue and your fresh water tank is being back filled from the city water connection. Sometimes turning the city water off and on a few times might reset it otherwise it is in your water pump or an inline check valve that will need attention.
I always turn off the city water hydrant if I am going to be gone a while, if you pop a leak, it is best not to let it run while you are gone and return to a big mess.
2018 Rockwood 2509S Mini Lite
Past: 1984 Road Ranger 20', 1988 Kit Companion
1984 Starcraft 24 foot popup
TV: 1999 Dodge 2500 Cummins 4x4
Honda EU2200i Generator, 300 Watts Solar
Ham Callsign KD7UM