Adding 230v to my garage

[SigFTW]

I want to move up to a two stage compressor (12+) CFM and welder so I would like to install a 230v line in my garage.

Looking at my electrical panel I don't have any slots left. I do have the electric dryer breaker I could use, we have gas.

So my questions are:
- Can I piggy back off of the dryer breaker (30amp)?
- Or install slim (thin) type breakers?

I don't know much about thin breakers so that's why I can asking.

I'll have to run a line in the round to my garage because it's a detached. So I want to do all the prep work before I call an electrician to hook up the wires.