I learned to spin on a spindle but was very glad to be able to switch to a wheel after a short time because I found the spindle cumbersome to use: it didn't spin for very long, and trying to coordinate learning to draft while trying to figure out the "physics" of the spindle was frustrating. I managed it, but I wasn't very happy with the results.
Recently I bought a Golding spindle. I confess that I bought it mostly because it's beautiful but I was happily surprised when I actually tried it for spinning; it was well balanced and heavier than my beginning spindle, and I swear that it would spin forever if I let it go! So, I'm back to doing some spinning on drop spindle. It's taking me a little while to coordinate my hands and pinch at just the right point while I"m drafting, but it's a much more enjoyable process with this spindle--it's beautiful while it's working so well!
When I've spun enough that I want to wind off, because the balance changes, I am winding it onto my weaving shuttle bobbins.