It is a good name, but it doesn't really describe what your business does or offers to someone just reading the name in print. So you may want to come up with a catchy slogan to tie it all together to communicate the take-away/delivery focus of your business.

Big Bite does make me think that you are implying value - that a customer would get a generous portion for their money. But then again, I am speaking from an American point of view, so I am not sure how the phrase "BIg Bite" will convey in your culture...hopefully favorablly!

Good Luck!

*GG*