After the reductive work of the Rasp and File or machinery like the Planer, surface preparation for finishing begins with the Scraper, a relatively thin plate of tempered steel, very like that of a handsaw blade. Scrapers are made in varying thicknesses and a number of shapes. Scraping is followed by sanding starting with coarse and moving to finer grits.
Furniture restoration will compel you to find a varied selection of clamping devices, and call upon your ingenuity on-the-fly when manufactured solutions are not available.
A bench is a conveniently elevated and (hopefully) flat clamping jig. Large and heavy is best if you do not require mobility. I prefer to have attached vises rather than stops and hooks.
In woodworking generally, but in restoration particularly you will be dealing with holes; making new ones, cleaning old ones and repairing them. These holes will come in an inconvenient array of diameters, so you will become familiar with drill bits, drills and driving.
Whether you buy new or used tools, what I would like to emphasize here is your comfort; all other things being (mostly) equal, I would opt for the tool that fit my hand size and stature. Comfort promotes control and as a result, safety and improvement in your ability to attain accuracy in your work.
It would be interesting to take a novice woodworker born after 1990 back in time to shop for tools at a retail woodworking store of that era. Compared to the overwhelming selection of excellent equipment (of all sorts) available today our time-traveling beginner might experience some disappointment.