My crib is like LosingMyMindInGA describes. The top 6 or 8 inches folds down and it is hinged.
Google "drop gate crib" and you can see many images.
I happen to be petite (5'1") and found that putting a step stool next to the crib helps me too.
I don't have back problems, but am having brain surgery next week. I will not be able to lift or bend for a while. I think I'm just going to have to s.uck it up and convert the bed to a toddler bed a bit sooner than we had wanted. That is an option when the baby gets too heavy. Some people put their little ones into toddler beds as early as 12 months. My first was in a twin bed with guard rails by 18 months.
I have terrible back problems. When the baby is small you just raise the mattress to the top setting so you don't really bed over to lay them down. Once the baby is big enough to need the lowest setting you can put them in the crib by setting them on their butt. Then I help my daughter lay down so that way I'm not bending all the way over while supporting her weight.
Once they are 6 months +, they will be sitting up, later standing, biting the edge and waiting for you to pick you up! So you sholuld not have a problem.
I dont' know if they still sell them but I once had a crib that wasn't really a drop side but the top foot or so of the side was hinged and flipped out and down-does that make sense? Perhaps you can search online for something like that??