The ez-tan is a syn-tan and will have an acid and a tanning oil with it. Usually the oil is based on neatsfoot oil. Syn-tans have some serious advantages of being washable, and producing a pelt that will last forever. They are generally compatible with any acid.
When you use the citric acid make sure to check your PH frequently. The same goes for the saftee acid in your kit. The acidity can change pretty dramatically during the first 24 hours with the saftee acid, and I think throughout the whole process with the citric acid.
Alum is something I haven't played with yet. It's considered a pickle and a preservative, but not a true tan.
It takes so long to accomplish...I just haven't found the time for it, but it is on my list.
Well, oil-soaping a raw or pickled skin isn't a true tan either! It's just an oiled raw-hide. The pickle doesn't tan it after all, it just preserves a pelt temporarily it and gets it ready for tanning. (except alum, which preserves it much much longer than an acid pickle typically would. Alum has it's own niche when it comes to tanning, somewhere between a tanning agent and a pickling acid)
Of the materials you mentioned, only the syn-tan will chemically alter your leather in a permanent fashion. Alum can sweat out or be rinsed out of a pelt over time, and the oiled rawhides would probably be totally spoiled by wetting. Syn-tanned pelts rehydrate well and just need re-oiling if they are washed too much. I actually went back and re-broke to my first pelts a few years after I tanned them, since I had accumulated the experience to do a much better job at breaking. The pelts were better-than-new.
This is where syn tans shine over chrome tans. Chrome tanned leather doesn't rehydrate as readily when it's a few years old. It's more of a concern for taxidermists than clothing makers.
The syn-tanned pelts do however need to be re-broken when wet. I haven't found a tan (other than commercial chrome tans) that doesn't stiffen up upon washing.
I would always use salt if I was doing a syn-tan or using alum.
The oil soap method is basically an imitation brain tan, and everywhere I've read says that salt is not used for brain tanning, so I left it out and suggested refrigerating it instead as an additional line of defense against the bacteria that causes slip.
I have also read that salted pelts CAN be used if care is taken to rinse all the salt out before braining.
It's up to you.