I picked up this hobby about 20 years ago. Mitre saw, table saw, circular saw, and jig saw is what I started with. I actually don't use the circular saw all that often - it was very handy when I built my daughter's outdoor swing set with a tower thing, or the deck that I built.
The table saw has proven to be the most versatile over the years. I've cut lots of wood on that thing, but changing the blade to one rated for cutting materials like laminate (for the floor) allowed me to redo all of the floors in my house.
I've added a scroll saw which I use for some fine craft projects I've wanted to do, but it doesn't get used for any other applications.
I inherited a router many years ago. I used it a bit before deciding I wanted another more modern model (a Craftsman). I bought a router table and several bits. I didn't use the table all that frequently, but it was good for using the templates that I bought to cut out a sign that I made for my mother-in-law.
If you're married, be prepared for your wife to question why you'll need a particular tool. When I bought my drill press, my wife asked that question, to which I responded, "to put holes in things". I've used that for wood projects, but believe it or not (it's a table-top Craftsman drill press), I've used that more frequently when building the scale model airplanes I build (my other hobby).
Someone mentioned lighting. IMO one can never have enough lighting. I have plenty of lighting but eventually I find that I just need more. Trouble is, I've run out of places to install it.
Storage - I have 3 of the big Craftsman tool boxes. Those hold all of my hand tools as well as boxes of router templates and bits, and other random things.
Some hand tools I can think of is an good assortment of hammers (dead blow, rubber mallet, claw, framing) and have multiple sizes of levels, even a laser-light level. Squares and measuring tapes are essential. And keep a good supply of pencils for marking.
To that last point, the most useful tool that I have is this:
Pencil Holder I mount these things on each of my power tools and the tool boxes, and I've recently added magnetic strips to give me more easily accessible storage for frequently used tools
Magnetic Tool HolderFinally, always measure twice cut once, wear the proper PPE, and if something sounds like possibly a bad idea, consider that the absolute truth and don't do that something. And have fun.