Working with wood fresh from the log is called green woodworking. The wood is easier to work with by maybe an order of magnitude, but it comes with its own challenges.
Good, traditional Swedish, general purpose carving knife that is commonly ground flat. These Mora ones are affordable, come in different sizes.
For carving spoons and kuksas as well as bowls.
Circular knife often with a long handle; used similar to a hook knife.
The books "Make a chair from a tree" and "Make a stool from a tree" guide you through the process of making this seating furniture in great detail.
I found the stool to be challenging in the amount of work required. The construction is not overly complex, but stock preparation takes some time, turning and cutting quite a few mortises and tenons.
– agnoeo
The seat is usually made from softer wood like pine, butternut, etc. Often regular, milled lumber is used.
The spindles are usually oak or some other strong, straight-grained wood that splits easily. The benefit of splitting is that you retain continuous fibers and therefore the maximum amount of strength; that's why the spindles can be as thin as 5/16" at some points, something not really possible with sawn wood, where the grain might run out.
Legs and posts can be from oak, too, but for finer turnings, diffuse porous woods like maple are often used. Same here: if split, it's the strongest and can be slim and more elegant.
You can split from sawn, dried lumber if that's all that's available, but you lose the convenience of fast stock removal possible with green wood.
Curtis has a number of video series on youtube that walk you through the process of making a Windsor chair. He sells plans and the digital one for his "democratic" chair are free.
The information is all there, it's just a bunch of work. Took me two years to complete the first chair, thinking through each step of the process, sourcing and processing the material and buying and making tools.
– agnoeo
He wrote the Chairmaker's Notebook and has a (paid) video series on vimeo that goes into a lot of detail of the whole process. Also sells the Drawsharp and Galbert Caliper
Handtool Woodworking
Elia sells reamers, tenon cutters, travishers and much more.
https://www.timmanney.com
Sells reamers and shaving horse plans.
The Windsor Workshop
Sells travishers, scraping tools, plans and more. He wrote the Windsor Chairmaking book and offers workshops.