Craftsman/ mission style began as simple furniture built by people with limited tools. Luckily this means you also don’t need many tools to do it well. You will be doing a lot of parallel cuts, right angles, and through or pinned mortise & tenon joints.
100% agree with SkyNTP that on the power tool end you will primarily use the table saw, router, planer. I would add a good set of squares, marking gauge, a good 1/2 in or 1/4 in paring chisel for cleaning up corners after routing, and a doweling jig if you think you will be going for pinned mortise and tenons.
Save the rest of that cash for all the QS white oak you will need.
Sorry I said pinned m & t, but what I meant was more specifically a drawbore m & t which is a type of pinned tenon. The pin is slightly tapered and offset from the hole drilled in the tenon and will actually pull the tenon tightly into the mortise. Think of it as a more visually streamlined tusk tenon (which is also pretty common in this style). They are a very easy way to make a nice tight joint without needing extreme accuracy or glue.
Don’t know what your living situation is, but if you think the legs or stretchers on your furniture are likely to get damaged at some point and need replacement or you want the option of partial disassembly, strategically used drawbore or tusked unglued joints can make these tasks much simpler.