Add up the wattages on the back of the units. For things like amplifiers and powered speakers this is the maximum power that the could draw, but with normal amps your actual usage is usually much lower. The 230W on the back would be used up only if you were using test tones at maximum output.
Yes, you can get a new circuit, but you can't upgrade the breaker UNLESS you know you already have 12 gauge wiring everywhere. If this is a circuit that is shared with lights I'm sure you do not.
Sounds like you may be better off getting a new additional circuit run. I try to keep really noisy things like Ethernet switches and PC's outside of my clean power zone which is where my amps and DACs go.