When you use the bomb push upgrade, and explode at the end of your turn, are you affected by your own explosion (having to jump one space?). If so, which direction do you jump in? Since you're activating it with you at the center, I'm confused if the explosion affects you or not.
No. The player is at the center of the bomb and therefore goes nowehere. The same is true for rolling a Q (6) on a teleporter roll. The player on the teleporter simply doesn't move.