Start out by following the directions given by Kodak (and Formulary for TF-4). You can also find excellent papers on Kodak's website about how to develop film and process to high quality.
Regarding the chemicals in your picture, you don't seem to have a stop bath there. There are differing opinions on whether or not you need to use one, but if you don't, you'll need a proper water rinse after you pour out the developer and before you pour in the fixer.
TF-4 is an alkaline rapid fixer. I think when you're saying you read you don't need Photo-Flo with TF-4, what you really mean is you don't need a Hypo Clearing Agent with TF-4. Here is the background: After fixing, you need to thouroughly wash the film. Using a Hypo Clearing Agent after the fixer can reduce the washing time. It is said with an alkaline fixer like TF-4 (as opposed to most other rapid fixers which are acidic) the wash times will already be shorter than usual, meaning a Hypo Clearing Agent isn't needed to speed up washing. Having said all this, you don't need to use a Hypo Clearing Agent with film anyway. You just wash the film longer. Again, follow Kodak's directions (and the directions for TF-4).
Photo-flo is a wetting agent used after the final wash. It helps the film to dry more evenly and prevent drying spots.
Thank you very much fot the advice Michael. Based on previous readings I'll be using water as stop bath.