With little experience of neg processing try a range of developers from say very fine grain such as Perceptol through Xtol, ID11, a staining developer, two bath and eventually to Rodinal and use the recommended times. It will help if you stick to one film while doing this.
Will you learn a lot? I doubt it but you might enjoy yourself. If trying a range of developers with one or more films is your desire then do it. As John Wayne said: "A man's gotta do what a man's gotta do" or woman
Do not expect an agreed list of developers to try, with (even less likely) a list of agreed "differences" to watch for. As someone has already said, the pursuit of that end leads to madness.
You need to be sane when you draw your own conclusions and then act on them