I think the main reason the "disposable" straight razors are preferred for barbers is the issue of spreading some really nasty diseases. So, if you plan to use any single razor for more than one individual, I think you would be wise to find some really strong disinfectants as well as antiviral solutions and develop a multi stage razor cleaning process to follow after each straight shave. Plain alcohol will not kill much, some people advocate bleach but it's still not great, some commercial cleaners will do; but if I were you, I'd use them all (separately, of course) just to be safe. This is as much for you as it is for your customers.

Other than that, you'll want to spend a LOT of time learning to hone your own razors (there's a substantial learning curve, but it pays off) as well as proper stropping technique so as to minimize your need for honing. A perfectly honed and stropped straight razor simply cannot be beaten for a great shave.

Good luck!