A fly tying kit is three things in one box: a vise that holds the hook, a handful of hand tools, and the feathers, fur and thread that become the fly. Most cheap kits are strong on one of those and weak on another. So the first question is not which brand. It is what is actually in the box, and what you will have to buy before you can tie a single Woolly Bugger.
For a first kit, get one with all three, a book or videos, and hooks. The WETFLY Deluxe is the pick here for that reason: a C-clamp vise, scissors, hackle pliers, bobbin, hair stacker, materials and three packs of hooks in one case. If you already know you will stick with it, the better route is a good vise on its own, like the Griffin Odyssey Spider, plus a tool set and a materials pack. A vise outlasts everything else on the bench, and the one in a budget kit is usually the first thing people replace.
Tom has not tied on these. The picks are ranked from what each Amazon listing says is in the box, Amazon buyer ratings and AI-assisted research. Contents claims on this shelf are loose, so where a listing's title, bullets and photos disagree, the page goes with the photo and says so. The Colorado Anglers kit is the clearest case: its bullets mention materials, but its photo shows a vise, tools and a book, so plan on buying materials separately.