From experience, those little booster fans won't cool a 6in hood, I tried on my first grow and ordered a big fan after 15 minutes of monitoring temps. Let's get right to the issue though, indoor growing will usually require air conditioning in either the grow room or the surrounding area.
You definitely have enough equipment to blow the heat off of one 600w light, but without a source of cool air you'll be looking at whatever temperature the room is plus a few degrees from your light and your equipment no matter how much air you move around.
I found a used 12,000 BTU portable unit on craigslist and purchased it for $150 ($600 retail, listed for $225 on CL) and it has been working really well (do not buy a used unit from a grower...find someone in a wealthy neighborhood whose central A/C went out for 2 weeks). This unit cools my flower room (4 x 600w in 10x14 room). Can you believe those 4 lights are cooled by one 6inch vortex fan? That fan draws from another room because I didn't want to just suck all the A/C out of my flower room, but that other room is also air conditioned (mostly because it is my bedroom and I like sleeping in air conditioning when the house is 86, but also because I pull air out of it for my veg room). The portable unit is also a heater, which helps in the winter time because I have isolated the flower room from my house's heating system.
Long story short, my flower room is 74 with 4 x 600w, a dehumidifier, and 4 lumatek ballasts in the room. Lights off is 68. These temps are the same whether it is 92 or 80 outside and I frequently leave for 2 or 3 days....even if I couldn't see the room temps online, I'd still leave confidently. I would benefit from having a 14,000 BTU unit, but for the price I paid.....I'll take 74 with it running non-stop.
I included a couple pictures, but I don't claim to be an excellent MJ photographer. Ok, so first is a cheese plant at about 6 weeks. Second is blueberry at 4wks, third is train wreck (with slightly burnt tips) at 4 wks. Fourth is aerial shot of my room, fifth is a slightly different angle. Sixth is a 60x phone attachment shot of the cheese plant in the first picture (just started week 8, flushed, will be harvested in next 5 days). The photo makes it hard to tell, but there are some scattered amber, a lot of cloudy, and still a high percentage of clear trichromes (my patients have never complained about the effects from harvesting this cheese strain about mid week eight, I would take it right now if I had gotten my flush in sooner, very uplifting and energetic).
Happy growing man, whatever the tone of this ended up being, GOOD WORK! Your setup looks awesome and being willing to move everything into your bedroom tells me you care enough that you'll end up doing just fine! Find some cheap A/C and you'll be rocking!