Welcome aboard. There are a lot of folks here that can help or give advice.
What tools? The list is endless!
A lot depends on what projects you want to tackle. My suggestion would be to keep it simple until you get more experienced.
Being able to make square cuts is very important. Some projects can be built using simple butt joints. Others need rabbets or dadoes for additional strength. And it gets more complicated from there.
So, here is the list of my tools I have aquired over the years. Note I said years!
Table saw - considered by many as the center of any good shop. You can build jigs to help make square 90 deg cuts or cuts of different angles. It also helps to rip your workpiece(s) to the desired width.
Miter saw - not a requirement but handy to have available, especially if you need to cut repetitive pieces by using a stop block. To some extent, that can also be accomplished with table saw jigs.
18 gauge air nailer - very handy for attaching your pieces together after you have applied the glue. Makes a pretty small hole that can be filled if needed. Air compressor required!
Jig saw - for cutting curvy stuff.
Tools to measure accurately.
Random orbital sander
Drill driver(s) - for driving scews
From there the list goes on and on...
Router - I would suggest a combo model - the fixed base can be mounted under a router table and the plunge base can be used for hand held operations. Most models make switching the motor easy. I have a pair of Bosch 1617's. They have been very dependable. And the little DeWalt DW611pk combo.
Joiner - for flattening one side and one edge of rough stock
Planer - for thickness planing rough stock (or regular) to the desied thickness for your project
Band saw - for cutting a lot of curvy stuff!
Drill press - very handy to have around - use it for drilling and sanding (using sanding drums).
Check out the Kreg pocket hole jig (and videos on You Tube). All you need is a plan and some stock that is cut to length and 90 deg cuts. You can build a lot of stuff that looks good and be functional. I use mine mostly for face frames for cabinets. The holes are not visible and the joints are good and strong.
Here is a simple cabinet I just completed using nothing but butt joints, glue and brad nails. I mounted it above the toilet to store extra TP and a few decorations.
Square cuts, curvy cuts, glue and nails. Oh, and a rabbet cut along the two sides so the back would mount flush.