Hi Mac
You’ll get lots of opinions on this. Here’s mine.
Dr. Slick makes a very nice set of basic tools that you can find in most fly shops or catalogs. Scissors, bodkin, bobbin threader, hair stacker, bobbin, Matarelli whip finisher, and hackle piers. Goes for aroudn $45 and the tool quality is very good.
Augment that with a small pair of flat bladed (no teeth) needle nose pliers for mashing doen the barbs on your hooks and you are pretty well set on tools for a beginner.
You’ll probably add a few extra bobbins and some other tools over time. Many may be things you improvise for yourself --razor blades, pins, toothpicks, small side cutting pliers, etc.
The next big decision is your vise. You can start out cheap (well under $20)while you find out how much you like tying, but you’ll probably find yourself trading up in time. The vise can be fixed or rotary. If you have the budget for it I’d start with a good rotary. The Renzetti Traveler rotary that goes for under $180 works fine for me, but more experienced tyers have lots of other vises they like. For a stationary vise I was pleased with a Thompson that cost about $65.
Another decision is how your tying area will be organized and, thus, how your vise is mounted to make it stationary. I don’t have a dedicated tying space, so I use a tying station --basically a flat surface plus storage areas for tools, threads, etc. My vise mounts to that. There are vises that mount to a table of desk top with a C-clamp, but consdider the potential for damage to good furniture. And there are heavy pedestal stands for a vise.
That’s really enough for a beginner.
As for materials, don’t start off with a whole bunch of stuff. Get black, brown and white thread --the white can be colored with Sharpie indeleible ink pens. Buy only the furs, feathers, and other materials you need for the fly pattern you are going to tie this week. Over time you’ll add much more of these materials than you think now but, buying them one fly patterna at a time is better than getting a big grab bag of stuff you may never use.
Hope this helps.