Depends a lot on the type of kit if you even have to be making parts at all. That takes out a lot of things like the scroll saw, spindle sander, etc.
I think the main "machines" I use for building are the following:
- Table saw.....mainly for hinge stock, so you can also use a band saw if you have a good quality one. If you do get a table saw I highly recommend one that has a machined steel top, not those stamped steel top deals that you see at the box store. When starting out I went through three box store models till I spent the money on my first "real" saw which is now 12 years old and good as new.
- Band saw, very very versatile saw so don't skimp with the El 'Cheapo model. Get one with a tilt bed, steel bed, deepest throat you can afford and a good belt drive system. No direct drive light weight junk on the band saw!!
- Disk / belt sander combo. I have a cheap one from the box store with a 10" disk and a 4" x 36" belt. Think it's powermax or something like that, maybe $40-50
- Miter saw, I use my miter saw A LOT. Cutting sticks, mitering sticks, even cutting small plywood parts. Again, get the biggest one you can afford and not a cheap one. I use a 12", but a 10" would also work. Smaller than that and you limit it's uses.
- Clamps, lots of clamps, but you can get these a little at a time and can get great buy's at places like Amazon.
- Sanding bars can be made with the tools listed above.
- A GOOD TABLE - again, you can likely build a nice heavy flat table but don't skimp it needs to be flat and sturdy. If you don't have room for a big dedicated table you can build a smaller torsion box type table that is portable and only used when you absolutely need a flat surface. You likely see in my threads I don't have a flat table at all but I do have a torsion box, and I use my table saw tops all the time for glue-ups.
Many other small and even semi-disposable tools an be acquired as you need them. The nice thing about all of the big ticket items (table saw, miter saw, etc) is that you can use them for tons of other things like home repair, other hobbies, etc.