The main active ingredient in CLR is 8% to 12% Lactic Acid. So don't use it if your goal is to avoid handling hazardous chemicals. Like most of the household cleaners, it also contains other chemicals (propylene glycol n-Butyl ether (1-2%) and Lauryldimethyl Hydroxysultaine (2-5%)) which may or may not be helpful in treating painted parts. I would heed Jim's advice above.

But if you are using it because it comes in a pretty handy ready to use package, that makes a lot of sense and is probably worth a try.

As far as a tub for oxalic, I often use a small kitchen trash can to do forks. I have recently switched to an even smaller plastic bin to conserve on supplies. I need to take a picture of it, as I have a fork, a headset, and several steel brake parts in it right now. I only do a kiddie pool sized bath a couple of times a year.

Lime out is kind of interesting, its a mix of phosphoric acid, citric acid, and an unnamed surfactant (soap).