The bombs will bounce in a very predictable pattern, if there are no obstacles. Wait for one to bounce in front of you, then pass under it while it's in the air. If you're lucky, you can get blasted from behind and propel yourself to the hole.
An effective way to shield against bombs is to build a long line of invisible boxes. Note that a box in just the right place might stop a bomb in its tracks, causing it to explode near where the mice travel.