How many watts can a normal household circuit handle?

[ed99]

Power (watts) = volts * amps so on a 125V system with 2000 watts power consumption you're using 16 amps. As asmodeus pointed out, you'll have to look at your box to see what each individual circuit is rated for.

A hairdryer uses ~1500 watts so what you're doing does not sound extreme, but considering that your system will be on continuously for hours per day it is probably best to leave some margin. Otherwise you can use two outlets on separate circuits.