The best advice is to buy tools when you need them. When you encounter a problem, figure out a solution then buy the tool needed. Ship modeling is an art, and as no two modelers have the same abilities, each will reach for a different tool to get the same thing done. My shop has been equipped one tool by a time over a period of over 60 years.
You do, however need some basic tools to get started:
A razor saw: Zona is the standard.
Xacto knife with plenty of #11 blades
A small bench vise
12” steel rule graduated in sixteenths
Pencil (s) and a way to keep them sharp.
Small engineers square
Clamps- see recent thread on this topic here on SOS
Small pair of needle nose pliers
Note: I have not seen the instructions, but the kit developer uses scalpels instead of an Xacto knife on other models that he has built. Scalpels frighten me because they are so sharp. You may have the manual dexterity to use them with confidence. The Xacto knife is still handy. Also, the tools above are not expensive so buy quality. They can last a lifetime.
Glue. For wooden ship models only one type of glue is required; PVA. This is the yellow stuff sold by the name Titebond or Elmers. Many modelers swear by (and sometimes at) CA glue. I personally don’t use the stuff. Its fumes are nasty. As you get into more advanced models there are better choices for difficult gluing situations.
The guy who developed this series of kits is a master modeler. I would pay attention to the tools used by him in the instructions and pass on the “all that you need” tool kit.
Roger