While I am a neophyte where gun building is concerned, my 40+ years of woodworking may qualify me to help a bit here:
I echo the advice of MSW. Stay away from pre-selected tool kits. Quality of the tools is usually lower and many have stuff you don't need and lack things you quickly discover would be most helpful.
Eric's set-up is good. For ease of getting started (especially as a beginner) I would ADD a few "Microplane" rasps. They cut fast but not too deep and the blades are replaceable. Lots of sizes and tooth sets to choose from as well. If you are new to shaping or carving, try to steer away from "power tools" as it very easy to go too fast and too far with those as a beginner, and that just leads to heartache and $$$ lost.
Patience and a light touch with your hand tools at first, will pay off. The more your learn the feel of the tool and how it behaves, the faster your comfort level will increase and thus the speed of good work.
I recommend what Billraby did as well. You are working wood. Go where the woodworkers go. This includes Woodcraft, Rockler, Klingpors, Highland woodworking, (I don't know what is close to you, so I threw out a few to look up.) Go to the store, not the website (yet). You don't have to buy your entire set up there but the benefit of going there is that the folks in those stores are also the teachers of the many classes they host. The patrons are woodworkers as well and you will often run into a professional furniture maker, wood turner, inlay artist etc. Just like the gentlemen on this forum, they will all be eager to help you out.
Often, these folks will do more than that, they may even offer to show you the proper ways to use the tools you are looking to find. Don't be shy, ask for help and you will receive it.
Don't go nuts. It is easy to do. Purchase the tool(s) you need for what you doing and you definitely don't need every size on the shelf. Complete sets, while tempting, are not a wise use of your money. You can accomplish an awful lot with a few microplane rasps, a few good files, a 1/8" chisel, 1/2" chisel, 1" chisel (these would be "pairing chisels" high grade, razor sharp tools designed for hand pressure or LIGHT striking with a wooden mallet, NOT the hardware store chisels), a "V" gouge or two, a liner tool, a wooden mallet and some (few) carving gouges.
The gentlemen here would be my "go-to" source for useful sizes to get started.
A word on rasps and files: Most of the rasps and files you will come across have (machine cut) teeth cut in patterned rows. For shaping and smoothing wood, however, artisans would use hand cut rasps and files with random tooth patterns as the resultant finish was far smoother and required much less "clean up" as well as reducing the occasion of chattering and creating unintentional deep cuts to eliminate. I would recommend the "buy once-cry once" motto in this instance and purchase one or two of these random tooth hand cut rasps as you will have a much smoother (pun intended) wood shaping experience. You will also be able to hand these down as the quality is excellent. Narex is a Czech brand that will be lower in price but of very high quality.
Another economical option for fast but markedly smoother material removal is the US made "Kutzall" wood shaping rasps. These are very cleverly designed random tooth "rasps and files" in a myriad of shapes grades from extra course to extra fine that are not "cut" rasps and files but impregnated tungsten coatings that do an impressive job of wood shaping with speed and a nice finish leaving little clean up of the wood. They will last a long time, although the jury is still out on their "heirloom" quality, but for the price, who cares? In shaping guitar necks and headstocks, I have tried these out and they are fantastic tools.
Stains versus Dyes: Wow, there is a lot to unpack here. Start by browsing the articles and books of someone like Jeff Jewit. There is little this man has not mastered in the field of wood stains and dyes, shellacs, varnishes, urethanes, epoxies, etc. etc. Whether it is brushed, sprayed, wiped or dipped, start off with reading a few of Jeff's articles and watch a few of his videos. He is the "Yoda" of wood finishing.
I hope this helps a bit. Thanks for giving me something to contribute here as I am total "noob" on most any other topic these learned gentlemen discuss.
I too am just getting started (again) in this wonderful hobby.
Best of luck to you.