Umbrella Stroller Re-cover

So I have a beautiful stroller that I re-covered and I'm very happy with it but it's kind of big.  Sometimes you just want the easy little umbrella stroller so I've been using this. 

 One day I realized that I push around this beautiful large stroller and an awful Umbrella so it's time to do something about it.  Let's be honest, this stroller obviously isn't finished.  As much as I love the classy black circles with the multi-coloured animals I do have plans to make them match.  The problem being that the sunshade is held on with rivets.  I looked up instruction on how to remove them, it involved a drill so I waited until Brad was ready to help me.  We got all set up, put in a bit and started to drill.  The rivet looks exactly like it did when we started and now we have a broken drill bit.  Time to come up with plan b.

This stroller cover was just like all of the others.  Take it apart, use the original as a pattern, put it all back together.  The only snag being I took my sewing machine in for some maintenance so the putting back together waited about a week.  I made sure to pin things how they should go so I wouldn't forget and it was a pretty smooth project only involving a small amount of unpicking.

My favorite part is the bright blue on the back.  The original fabric was kind of heavy duty but I wanted to use what I had on hand so I bought some cheap broadcloth and doubled up my fabric, black on the front and blue on the back.  I'll do the same on the sunshade and it will show a bit more.  You can see it best down by the seat of the cover.

Now I just need to get that sunshade taken care of, any suggestions on how to remove rivets?