And the thing is once the baby has woken up for a feed, they won't tolerate having their nappy changed until after the feed. By that point they're 'drunk on milk'/asleep so changing a nappy then is quick and quiet.
Also, you become so sleep deprived that if its not your turn to be up with the baby its amazing what you will sleep through!
Just one thought I had, if you are intending on bf, it can be really hard work at the beginning, and the moral support is invaluable in the night. Maybe on the medium term you might be doing all the night feeds, but in the first few weeks anything goes!