Well the AeroGarden 6 LED draws 20 Watts. Each Bounty draws 45, so X 2 = 90 W. The grand total is 110 W. That may sound like a lot, but most surge protectors are rated at 1250 W or more. You'd be under 10% of its capacity. So no problem at all.
Now the sheer amount of light would be enough to burn your retinas out but you should be fine for power.