baby proofing

hi there
my boy is into everything atm, especially in the kitchen. So we bought drawer & cupboard locks. which seemed fine. But the problem we r finding r the drawers. there is no "wood" betweeen the drawers, each drawer's top is the bottom of the one above. so we aren't sure how to connect the locks, and if they will owkr or not.
any suggestions?

ok getting really annoyed with the contents of my drawers going flying!!!! eveything is now on the bench!!!
HELP!!!!!!!!!!!!!!!!!!!