It should only take 20 minutes to walk between The British Museum and The British Library and there are some fascinating Bible exhibits in the Sir John Ritblat Gallery. As you enter the library, go up the stairs and it is on your left.
On the way, and marked by a red dot on the map, don't miss St Pancras New Church. This is a church designed to look like a Greek temple, you can even see the original column it is based on in The British Museum. Obviously they were not too worried about mixing their form of worship with those of pagan gods!
It is probably easier to use this website to find artefacts and do the tour, but if you prefer you can use this:
These are the items in the British Library in chronological order: