I have made only 1 twister quilt (for a baby) and I was concerned about working with all the bias edges too. I just made sure not to pull on the squares when sewing them together. The bias edges worked beautifully and it was actually an easy and fun quilt to make. Will definitely make another one.
The only suggestion that I have is that I had a print fabric that I used for my borders and then used coordinating fabrics. I did also use the print to make the twister blocks and I wished I would not have done that. It made the quilt look like I had missing teeth in the quilt. I also wished I would have used more fabrics......I think the twister quilts look better with lots of different fabrics.
Good luck and let us know how you do.