Actually, I don't think most people use an acid stop bath with film. I use two 45-second plain water rinses between the developer and the fixer.
T-Max films require more vigorous agitation in the fixer than most other films. Agitate 10-15 seconds every 30 seconds for 4-5 minutes (that's with a rapid fixer; non-rapid may take longer). I've reused a liter worth of fixer for 10 rolls of 120 T-Max without a problem.
I find the recommended development times for T-Max 400 to be too long, but you'll have to figure that out for yourself.
You might also want to get some hypo clearing agent to reduce wash times.
TMY is a wonderful film. Have fun!