Bulldogs are like potato chips. You just can't stop with one.
Wait it out. It's just the evil puppy shark phase. I think around 9 months to a year it'll get much better. Matilda used to be the same way - she was horrid to cuddle with. She'd bite bite bite and had no mercy!
Now, at a year and a half, she's a total cuddle bug. She wants to nothing but lay in bed all day. I sleep holding her like a teddy bear. hahaha