FWIW, the first bit means the pump is defective/badly designed and you need to get a better one (don't have any actionable advice on where, unfortunately), and the second should be fixable by putting the accumulator tank in the basement/hole in the ground, although YMMV on practicality.
I got tired of a small pressure tank, and thus no water without power. So I bought a 50 gallon one.
Now I can take a shower in the morning, even without power.
Not sure of the pump to use here, and I think we're discussing the same thing almost, but pressurizing the holding tank would be pump before vs pump after.
It may provide a nicer experience? Not sure.
And without power, the catchment tank would still be pressurized by the incoming water supply at 10psi, a nice fallback.
Now we only need to obtain the contract. Profit!
Look for the "booster set" to make a selection.
Consider adding in a vibration isolation to the pump connection. This article describes some of the different types. Probably for your application the "hose and braid" would be what I'd be looking for. This is a pretty standard part from a hardware store.
https://www.pumpsandsystems.com/isolation-noise-vibration-hv...
It would just be better if the utility company supplied a decent pressure. But they don't want to do that because their pipes have thousands of leaks in, and the higher the pressure the more water leaks out.
This is the problem of living in a place where most of the infrastructure is 200 years old.