You want to use the correct stabilizer for the fabric and the design.This includes taking into account for the number of stitches in the design. I usually use a med weight tear away on this type of design if I am using cotton fabric (quilt weight). When you hoop the fabric and stabilizer, once it is hooped, do not pull the fabric to get it tighter as this will distort the fabric.Hope this helps abit!
http://www.rnkdistributing.com/reference.htm
Here is a good reference site as well.
Kirsten