You can spend an enormous amount of money on woodworking tools and produce nothing. Here is a more useful order of spending.
Buy first
A decent hand saw, a combination square, a marking gauge, four sharp chisels, a block plane, clamps — and then more clamps. This is a small fraction of the cost of a table saw and will let you build furniture.
Accuracy lives in marking out. A cheap square that is not actually square will make every joint wrong in a way you cannot diagnose. Buy one good square and check it.
Buy second
A cordless drill and driver. A random orbit sander, which will save you more hours than any other purchase. A circular saw with a straight-edge guide, which does most of what people buy a table saw for, at a fraction of the cost and floor space.
Buy last, or never
Table saw, planer, thicknesser, bandsaw. These are wonderful and they are what a shared workshop is for. Use ours. The economics of owning a thicknesser only work if you are running material through it weekly.
Sharpening beats buying
A sharp cheap chisel outperforms a blunt expensive one, every time. Sharpening equipment is the highest-return purchase in woodworking and the one most often skipped. Learn to sharpen before you buy anything else.
Material sourcing
Buy rough sawn and dimension it yourself if you have machine access — the markup on pre-dimensioned stock is substantial. Buy more than you need; boards have defects. Let timber acclimatise in the space it will live in for a week before working it, or your joints will open up later.
The honest summary
Most people building a home shop overspend on machines and underspend on sharpening, marking and clamps. Invert that.