For soaking tools I have a plastic container. Most heavy plastics can handle acid, I mean that's what battery case are made of and the jug the acid comes in is plastic. I would try to keep rubber and wood out of it. It's not so strong that it'll burn you instantly. but you do need to be careful. Safety glasses and heavy rubber gloves at a minimum, no open toes shoes like I like to wear ect. I do have a container in my barn with the acid for soaking stuff, but when I did my radiator with the acid I did it outside.
I also keep a 1LB bag a baking soda, in the barn incase of a spill.
After I have soaked tools to clean them I set up a second tub with fresh water and baking soda already in the water. Dip them in that to neutralize the acid.