Update: Thanks to all of your help, I have now completed quilting my first real quilt block (entire quilt to follow!).
Since my quilt is 85" x 85", I had it basted on a long arm, which was worth every penny! I could not get all the layers to stay put on the garage floor, and my back and knees were screaming at me!
After basting, though, I pinned the first block heavily. Since it was basted, I could not use any adhesive, but I plan to try that next. I used both flower headed pins with pinmoors and Bodhin curved safety pins (not in the same area). I like the ease of removal of the flower headed pins as I am quilting, but they do pop out easier than the safety pins.
Overall, I am very happy with the method, although I need lots of practice to sew a straight line! And boy is it easy to get tiny, tiny stitches with the least drag on the quilt!
Thanks again!