You will be using your own body weight for many exercises, especially in the beginning, but you may need some equipment for TAK as you build strength. Think of it as an investment in your health.
How about spending a little money on a few pieces of equipment rather than on a gym membership or a doctor's visit or insurance copay! You will have way less doctor's visits when you eat right and get fit! Seriously. I haven't been sick in 6 years!
(An olympic bar weighs 45 lb - if you go with that, you'll only need to add a few plate sizes - like 2, 5, 10 lbs.)
If you're just starting out, 10 lbs. is a good weight to start with, but you'll eventually require heavier weight, so keep that in mind.
A great investment for your health and fitness! Pull-ups are one of the core exercises in TAK. I thought I'd never be able to pull my body weight up...EVER...but you build up strength with TAK, and you WILL be doing pull-ups! Assisted ones, jumping ones, reverse ones....I don't care. They all work!
These will increase your grip and totally save your hands from blisters and rips! Awesome for all bar work!
You don't need a whole set. Start with 8 lbs and 10 lbs at first.