Hi there,

yes you can bring your bible to China - in fact I have a fellow teacher who regularly attends the Catholic church here in Nanjing.

As long as you do not try to publicly or privately preach you will not have a problem.
Religious freedom is slowly evolving here, but caution should be taken at all times.

You may find your contract will have a clause in it regarding religion.

Just remember that this country has enough problems without complicating it with western religion.

I hope you have an enjoyable and rewarding time here.