I'll asked my mum what she used when I was little, because I was the hyperactive toddler from hell. (opened the childproof locks on medicine bottles, played hide and seek and hid in the top loading washing machine..)

I think with cupboards she just tied them together (we had the kind with knobs for handles), but I know the latches are supposed to be quite good, and are probably what we will get once Milo starts crawling.

The drawer latches I've seen look OK, the ones where you can open the drawer a bit, then you have to unhook it with you finger to open it fully.