I keep most of my hammers in two milk crates on a shop countertop for easy access. One crate is for steel faced hammers, and the other is for the various types of soft faced hammers I own. I cut a bunch of scrap PVC and ABS pipes and placed them vertically inside the crates. The hammer handles individually fit down inside the pipes. The pipes are packed into the crates tightly so I can remove one or more hammers without causing anything else in the crate to shift around.
I keep my autobody hammers and larger items like mauls elsewhere.
The white paint pen dots on top of each hammer head tells me how heavy each hammer head is. Each full dot represents a pound. That allows me to quickly switch back and forth between hammer styles while staying at the same head weight when desired. Any hammer head with an additional white painted line on the head means that hammer has a stubby handle. Hammers with double faces that are both the same, also have a red zip tie around one face. The red zip tie designates that face for dirty uses, like hitting greasy things or hitting things that might have mud or dirt on them that could impregnate into the soft hammer face and cause future issues. The side without the red zip tie is for clean or sensitive work only.
At all times, I keep a nice inventory of replacement hammer faces for all hammers that have replaceable faces. Soft hammer heads get machined down to freshen up the hitting surface or they get changed out as soon as one becomes too beat up or damaged.