I used to do the exact same thing in .41 mag years ago.
Shoot 'em up, and load 'em up in the same evening, usually in the winter.
Except that it took a half-hour to shoot 'em up, and two-and-a-half hours to load 'em up.
Not really that much slower than a single stage press.
I would assume the difference between the .38 and .357 kits is the load data, the scoop, and the seat/crimp 'tube' part of it. (Prolly powder selection, too, now that I think of it...)
I found that a lee loader, lee dipper kit, a couple of load books, a scale, powder funnel, trickler, plastic hammer and block of wood are all one needs to make good loads, along with a meager supply of brass, and a little patience. Another thing that helps is the slider chart from lee that comes with the dipper kit.
For a younger person who has a little more time and energy, and a very expensive caliber handgun, a lot of good ammo can be had for a very small amount of money.