to take something to some other place :P

Bring it over : To convey; to move; to carry or conduct. In distillation, the water . . . brings over with it some part of the oil of vitriol.

in this case "I will bring it over" is the same as "I will deliver it"

"over" means acrossing a certain of distance.so "I'll bring it over" means I will take it here to there.

you like my puppy? okay, I will bring it over when I go to Turkey.