A good set of 5-7 bench chisels (they don’t have to match) will get you going right away. Down the road you’ll eventually add some specialty chisels (like paring chisels, fishtail chisels, etc) but bench chisels will work for just about everything. I often pay only $10 for high quality vintage chisels, so a compiled set can certainly be affordable, and higher quality than low quality new sets. Read the chisel buying guide to learn what chisels to avoid and which chisels will work great.
I consider this my “basic” tool list. Although I do not have a dedicated box for these tools, I assure you that they have a great home in cabinets, on shelves, and laying around on benches. When I do need to take my hand tools somewhere, the larger tools end up in a simple tongue and grooved latch box my grandfather owned. The smaller tools are always in my overall pockets. Overalls work great. They have multiple pockets, they’re comfortable, and they protect your upper body and legs. You only have to deal with small chunks of wood getting into the pockets, which can be dealt with if you or your other half are crafty enough to sew some flaps. It doesn’t bother me though. Thanks for your time.
Once you have the four aforementioned handheld power tools in your arsenal and you've had time to get comfortable with using them, its time to make your first (and likely most important) major tool purchase. The table saw is the heart and soul of every woodworking shop, the centerpiece around which all of the other tools are used and organized, so you'll want to buy the best table saw that your budget can comfortably afford. Take the time to learn which features you really want and the table saw that best fits your budget and your needs. This article will show you the most common features, and how to determine what features you need and how to know if those features are really well built, or simply added on to the saw because they are selling features.
On chisels, once a new comer learns to sharpen, Aldi sells a 4 chisel pack for about $20 US. They are blunt and the backs need to be flattened but once correctly sharpened, they hold their edge very well. These are my go to chisels for most work and they’re as sharp as a scalpel. My good chisels haven’t seen the light of day in over a year as the Aldi chisels work beautifully.