J.S.
I just had to give eye drops to the 3 year old I babysit. She threw all out tantrums for her mom, so she sheepishly asked me if I was alright trying to give them to her daughter for a few days. I've had plenty of experience with eye drops from my first daughter who had plugged ducts, and had no problem giving them to the little girl.
I had her lay on the couch and close her eyes. Then I put one drop in the inside corner of her eye. I had her open her eyes and look at the ceiling, then close, do second drop, open, all done! Not a tear was shed. Repeat on the other side, all the while praising her for being so good at taking her medicine.
Another way is to pull down the lower lid and place the drop there, but I've found that the less touching of the eye the better for everyone.
But just so you don't feel bad - I've had to do the two person hold her down and peel her eyes open job. Not pleasant for anyone, but who's in charge here?!? And my daughter is completely fine to this day despite those episodes.
Blessings!