You dress for the weather, and I have a couple of pop-up fishing tents (someone on here called the smaller red one a tardis!) that get you out of the wind. We keep some of the catch to eat and release those larger ones that are prime breeders and the undersized (unless they have the bends from being brought up from deep water [30' feet requires careful handling]). There are size and possession limits. Carp aren't usually caught through the ice, and I wouldn't target them because of the potential damage in landing and releasing them in freezing weather. Yellow Perch (smaller than your Red Fin Perch), Walleye (like a Zander), Burbot, and Pike are all species we eat here. There are more....
Because I'm old I've not had to pay for a fishing license for a few years, but haven't been able to go more than a few times. I hope to rectify that soon. I'd especially like to get carp fishing again, but things have changed since the heyday of 20 years ago and some of my favourite venues are closed to me now, or are rammed with people catching them to eat. It's legal, but I just don't want to be next to it.