Swirl marks everywhere after my last wash, need a proper detailer

I made the mistake of letting one of those cheap hand wash guys near the petrol station have a go at my black Camry and now the paint looks like it's been scrubbed with a scouring pad under direct sunlight. Swirl marks everywhere, it's genuinely upsetting to look at. I know black paint shows everything but this is next level and I want it corrected properly rather than covered up with some glossy wax that hides it for a week. A colleague sent me this link, exoticautoservices.ae/car-detailing-mussafah/, and said the paint correction work he saw there was solid, so I'm considering it. What I want to understand is whether a single stage polish will actually fix this or if I need a multi stage correction, because I don't want to pay for the cheap option and end up back where I started. Also how long does the car need to stay with them? Has anyone had paint correction done on a dark coloured car in this heat and been happy with the result?