Hey, welcome to the craft! For the basics, you'll need a good utility knife and a cutting mat, a few different awls, and some needles and thread. For a beginner, it's almost always better to start by hand. This really helps you understand the material, how the tension works, and gives you a feel for what you're doing. So for the more specific leathercraft tools, start with a basic one for punching holes, an edger for beveling, a slicker for finishing your edges, and a groover for making a nice line for your stitches.
Don't worry about a machine right away! You can always invest in it later on if you find you're really enjoying it and want to speed up production. For now, focus on the fundamentals with hand tools and have fun! You'll be surprised how much you can do with a small, quality set!