I had a cot for MJ, i want planning on a c/s but ended up with one.
I cant say that i had any trouble at all putting her down or picking her up at any point.
We had a Cot that had an adjustable height so it was not on the lowest setting.

I will be doing the same this time around, regardless of whether i get my VBAC or end up with a c/s

Hope this helps