DH gets up at night for us. in the early days (ie first 4 months) it was to get up, change and bring bubs to the bed for me to BF her, then i would wrap her up again and he would bring her back to her bed.
it was a way for him to spend time doing something that was a role for him in her upbringing in those early days, when let's face it bubba is really dependent on the boob giver. also if bubs decided to do an all night cry he would be the one treading the halls etc. or going for very early morning walks.

we choose to have children together, and this extends to being together when the child is born. Yes they work during the day, but so do we. their hours at work may be from 9-5 but ours never end. even when our partners help out we are still very much a part of that process. we need to get as much help as we can. and night-times are the most draining, especially for those of us being with bubs during the day. i can say now that being a mum who stayed home for 6 months then went back to work, that going to work is NOT an excuse for needing to sleep all night. it's bullcr*p. i am more tired and in need of more rest when i am looking after DD then on the days i go to work (where i get lunch breaks, coffee breaks etc).

I know that my DH found it really hard to help out in other respects as he felt that he had no place or role in our DDs life. especially in those early days. discussing the role that they play to you as their partner is really important, and discussing the stuff that they can do with the baby is crucial. i reckon it's a good idea to split the jobs. ie bath time, walks, dressing for the day, preparing the nappy bag etc etc. it sounds arbitrary but soon it will be just a part of your daily life. and it is fantastic to get them involved in the everyday. they may do it begrudingly at first, or different from our way, but that's ok too, relationships take time, even the ones we have with bubs, and soon it will be second nature to both of them to have eachother around.

good luck and take care!