ORIGINAL: ED STEFAN
Those syringes work great, but if you don't have one, try a soda staw. Pack as much epoxy into it as you can, then flatten the end and insert into the slot a squeeze out a small amount. You can do the same for drilled holes if using pin-point hinges; just match up the size of the straw to the drilled hole, or if the straw is over-sized, just firmly place over the hole and squeeze in what you need.
I like the larger diameter straws you get when you order a milkshake. It's easier to put the epoxy in the straw, but more importantly -- I like milkshakes!
I've used this method and have a word of CAUTION to all:
FINISH THE MILKSHAKE BEFORE USING THE STRAW FOR APPLYING EPOXY!
And for those of you who are wondering, no, it doesn't matter what flavor milkshake you use. I know it may be hard to beleave, but the flavor will not affect the cure rate or the strenght of the final bond.