Mortise first, then tenon on table saw. Use scrap for setup of tenon thickness. Handsaw to fit length of tenon.
With any technique or tooling, I do the same way. Make the mortise, create the tenon to fit. First by making it a little big. Then taking it down to fit. The tenon is the fitted part of the joint. That's where I think practice is concentrated.
As for tooling, I can think of 10 ways off the top of my head. If it's practice on his bandsaw he wants... after marking and determining the measurements of the tenon- the tenon diameter and width. That wills determine the face and edge measurements from the leg. Set a stop block at the tenon length. Set the fence to that measurement (slightly less so that it can be fit). Cut the tenon edges and faces. Set the fence at the tenon length, set the stop block at the shoulder depth. Use a miter gauge and cut the shoulders... Fit to the mortise.
Fitting? Shoulder plane, chisel, sanding block, etc.
Why do you use a hand saw to trim a tenon to length after using power tools for your other tooling? Just curious. It I were to get out a good handsaw to work on it, I would wonder why I just didn't go ahead and do it all with that. Just saying if those where the skills I wanted to practice, then I would practice.
Yes. Hand Saw, Table saw with a tenoning jig, Table saw with a dado, Table Saw in a Sled, Band saw, Planes, Router Table, Plunge router with jigs... etc, etc. So many choices.