Polishing for beginners with mini-accumulator

Hello together, so I hope you can help me 🙂 Since I was in the wash road, I now have these typical micro scrapers everywhere. Sometimes even a little longer thin scratches, but they are not all noticeable when painting over. Unfortunately, I have had little success so far by hand, probably also lack the endurance to it. Now my question is whether I should buy a cheap and light mini battery polishing machine (e.g. from Rotenbach) which has the desired success b A machine with cable would be rather bad for me, because I have no socket in the underground garage. As polishing pastes I have the UC of Meguiars and one of Menzerna (must be the 3000). I have never polished with polishing aid or even machine. So far really only by hand with a cloth, so I have no experience and of course I don’t want to do anything wrong with the bonnet. Do you have tips on what would be appropriate in my situation? How do you do that, if you then after all once in a wash road was and you disturb the tracks at some point? Thanks in advance and dear greetings Vanessa