Didn’t mean to put you off if it’s something you are interested in, just be aware with what you are dealing with going into it.
Small desktop CNCs are relatively affordable, but only cut in 2 dimensions. Laser cutters fill a similar niche, are a bit more limited in the types of materials they can cut and how thick the material can be, are a bit more forgiving than a CNC (no risk of breaking milling bits if you screw up), but have safety issues to be aware of. I’m not aware of any hobby-grade muli-axis CNC machines, but there might be ones out there