I actually enjoy both, it's the middle part I don't like. I don't like doing the basting, because even though I (finally!) have a pretty good technique down that works well for me and I work up on a table, it's still tough on my back.
So I tend to build up finished tops - not because I'm reluctant to quilt them, but because I'm reluctant to sandwich them.
Once they're sandwiched and basted, I enjoy the quilting process very much, especially FMQ (even though I'm not all that good at it yet). I'm always excited to start quilting a quilt! It feels like I'm on the last leg of a race - the finish line is so close!!
I'm probably more skilled at piecing than I am at quilting, but I enjoy both.