One of the first things to keep in mind is the 80% rule. It says that for continuous loads, defined as any load over 3 hours in duration, you can only use 80% of the circuit rating. So right off the bat, you need that much more power than your load calculates to.
It appears that your main panel is only fed with 100a. The first thing that you need to do is figure out if the main panel is going to be adequate to carry the existing household load plus the new load from the grow room, or if you are going to need to change out the main panel first.
For what you are looking at, the best way to approach it would be to run a subpanel to the growroom or in it's immediate vicinity. Considering the above rule, the minimum circuit that you would need is 30 amps - 24 amps would be available on a continuous basis, or 5760 watts. This is a lot closer to your projected load than I would want to install, so you are probably best off with a 40-60a feed. With this and a pretty good-sized subpanel, you should be able to run as many dedicated circuits as you want, along with a combination of special breakers like GFCIs or AFCIs where appropriate. This will keep all of the growroom wiring localized instead of having to run clear back to the main with everything, and it limits the space that is needed in the main panel.
In order to do this, you would need to set a double-pole breaker in the main panel of whatever ampacity you decide on. It looks like there is room at the bottom of the panel if the busswork extends down that far. This breaker would then feed a cable that will power the sub. If the distances aren't overly far, then #6 wire (these are all assuming copper wire) is needed for 60a, #8 for 40a, or #10 for 30a. I like having a main breaker in the subpanel just for convenience, but it isn't required.
It appears that your main panel is only fed with 100a. The first thing that you need to do is figure out if the main panel is going to be adequate to carry the existing household load plus the new load from the grow room, or if you are going to need to change out the main panel first.
For what you are looking at, the best way to approach it would be to run a subpanel to the growroom or in it's immediate vicinity. Considering the above rule, the minimum circuit that you would need is 30 amps - 24 amps would be available on a continuous basis, or 5760 watts. This is a lot closer to your projected load than I would want to install, so you are probably best off with a 40-60a feed. With this and a pretty good-sized subpanel, you should be able to run as many dedicated circuits as you want, along with a combination of special breakers like GFCIs or AFCIs where appropriate. This will keep all of the growroom wiring localized instead of having to run clear back to the main with everything, and it limits the space that is needed in the main panel.
In order to do this, you would need to set a double-pole breaker in the main panel of whatever ampacity you decide on. It looks like there is room at the bottom of the panel if the busswork extends down that far. This breaker would then feed a cable that will power the sub. If the distances aren't overly far, then #6 wire (these are all assuming copper wire) is needed for 60a, #8 for 40a, or #10 for 30a. I like having a main breaker in the subpanel just for convenience, but it isn't required.