Pull the drawer out as far as you can, and listen for squeaks as you close it again. Pinpoint the source of the squeak as much as you can.
Apply a small amount of a spray lubricant to the metal tracks on both sides of the kitchen drawer. Pull the drawer out as far as it will go, apply the lubricant to the track, then slowly close the drawer to coat it with the lubricant.
Feel along the door slides for loose fasteners that could be causing the drawer to squeak. Tighten any loose fasteners you find.
Look for any spots where the wood has rubbed off the drawers. This can be a particular problem with old drawers, where wood is rubbing against wood. Use a bit of wax, even a wax crayon, to fill in that rubbed area.