A power shower is usually run from a gravity system (immersion cylinder plus roof tank.)
For a combi system, you would use a thermostatic mixer shower.
With the great benefit of hindsight ... I would have gone for a gravity system in your case. You have obviously, very poor mains pressure, plus four people in the house. Two common reasons for combis proving to be a right pain.
First off, I would ask your local water supplier to visit and take a look at your main. There could be an old, furred-up supply pipe. Maybe the main stopcock is half blocked up.
If the main is at the best level possible, and the running clear, then pressure can be boosted easily, but the pump and storage equipment needed can be quite expensive.
I wonder if the low pressure problem with your shower is more to do with others drawing off water in the rest of the house while you shower.
If other taps give a good flow and pressure from the boiler, then I would suspect the shower problem is down to the cold supply to it suffers from a very tortuous route, maybe with a lot of branching to other outlets. If your mains pressure proves to be Ok, then maybe a dedicated pipe run from the incoming supply directly to the shower may help.
Something, somewhere is way out of whack with your system, I suspect, Darbo, but I'd talk to the Water Company first.