One of my favorite subjects. And I have not read all the replies but I will throw my two cents in and forgive me if I duplicate. I almost exclusively use two saws for my lumber work. My full size table saw and a El cheapo harbor freight rock saw that I put a carbide wood blade on. There isnt any piece of dimensional scale lumber that can not be cut on a table saw. . . And keep your fingers. But by far and away the best purchase you can make is one of the hobby saws like the proxxon.
But I am an avid wood worker and I have lots of wood working tools. So I mainly use big tools for little lumber. Some precautions and tips when using a full size table saw for mini lumber. You MUST have a zero clearance plate. You make these with a thin piece of plywood or melamine. Your trace and cut put a piece to fit with no hole for the blade. You lower the blade below the table. Put the plate in and us hold down stick and slowly raise the blade through it. This gives you a plate with little to no gap for small strips to fall between.
Next you need feather boards. You can make them, buy ones that go in the slots for the miter gauge or magnetic ones. I use two, infeed and outfeed.
And the most important thing is This. This device will keep your fingers. Its the most positive control over wood I have found and it comes with hold downs for pretty thin slices. I bought an extra of the thin hold down and used it as a sacrifice for even thinner stuff.
And finally you will need a sacrificial fence. This is a piece of wood that you bolt or clamp to your fence and then you can slide it over to the point where the blade is cutting it.
All of these in combination will take a full size table saw and make it a mini lumber producer. But again it’s not a replacement for a hobby saw. It’s the best way to make do with a large saw.