A dedicated 20 amp line will be able to supply about 2400 watts.
I am assuming you are using the appropriate cable for your 20 amp outlet (12 awg romex is more than enough).
You SHOULD connect EVERYTHING to it without hesitation.
Contrary to popular advice of spreading your devices to multiple outlets, connecting ALL devices to a SINGLE outlet will give you additional benefit of minimizing or completely eliminating ground loops.
You have nothing to worry about.... unless you intend to connect a welding machine to the same outlet too :-)