For what it’s worth, it’s not recommended to use a pressure washer with any more than 1500 PSI for cleaning a car, hence why a Karcher K4 at 130Bar is more than adequate. Definitely don’t use one with more than 2000 PSI max. You could end up damaging the paint and seals if you go for a far more powerful one.
I have two, a Karcher K4 and a K6.91 but I’m guessing that the coiling of the water hose getting caught on the mains lead is the bit annoying you. You could try straightening the water hose and when you’ve finished with it, hang it straight on your garage wall. It’s wrapping the hose around the machine that’s gives them a ‘coiled’ memory. If mine can get hooked on something it will. It could be that it gets hooked on the wash bucket, the pressure washer itself, a flower pot or a wheel, so I sympathise with your anger and annoyance at this happening.

As Nick has said, it needs to be on the mains water supply. If connected to an outside tap from a gravity fed toilet pipe it won’t keep up and will be constantly trying to regain pressure.