The question would be, too big a bite of what?
But it looks to me as if you had taken too big a bite.
She opened her little mouth and took a big bite.
The kid took a big bite out of a hot dog.
Will they take a big bite out of the notebook market?
I know it's a big bite for you to swallow.
I managed to take a big bite before a lady at the next table called him away.
The man took a big bite of steak, and his mouth became so full he could talk no longer.
It took a big bite out of the island cabinets.
"So tell me how you knew he was killed," Joe asked again, and took a big bite out of the roll.