The same here, depending on what I want to do - they both sound slightly different.
Thanks to all who chimed in on my question.
It’s sometimes also called a C2 chord, or a Cadd2 chord. And, depending on the context, it could be other things, as well, although Cadd9/C2/Cadd2 is the most commong name for that chord. (If, for instance, there’s an A in the bass and the context of the chord is minor, it could also function as an Am11 chord.)
I’ll either do 320033, or 3x0003 (with my pinky and ring finger, so I can do hammer-ons to a C chord with 3x2013).
Most of the time you’re going to see that x32033 defined as a Cadd9 chord in guitar music. The D is an octave up from the actual 2nd.
This would be a C/G. It’s a C with an inverted 5th. You can just move that fretted G on the E string down to the A string (x320013) and you’ll get a pretty solid C5.
I generally play 320033. When I first started playing, I played 320003, but I prefer the sound of 320033, so I started playing that for the most part, and never really stopped.