Not bad for your first try! I like chubbiebunnie's idea of covering it in velvet. The other thing you could try is get a slightly thicker cardboard for each end and cut a hole the size of the paper towel in it. The push the paper towel roll into the hole and tape from the inside of the roll to the cardboard. Then cover the cardboard with fabric and you won't see the tape.
Looks like you used scotch tape? If that is not secure enough you could use a craft glue like fabri tac to secure with clear packing tape.
^ I finally did get an actual stand with black velvet on it. I was at my Michaels craft store today to buy more beads and they had the exact on I first pictures way above along with necklace displays. $7.99. I need to go back and buy another one b/c I have too many bracelets I made and no where to put them