On my first bag I too used WalMart fusible fleece on the outer bag and the lining. It is hvy wt pellon fleece. With my machine I didn't have to much trouble sewing it but it was bulky. On the second bag I made I used the hvy wt on the outer part and the pellon 987 on the lining. This worked great for me. I also used the 987 in my handles. I cut my handles 4 times the width and fold. I didn't have any problems sewing these either. Wishing you the best of luck on your next bag.