Oh Shucking, I could have written your post!
DD (now 12.5 months) has horrible separation anxiety (proper being sick with crying, not just a bit of crying when you leave and then happily playing in the sandpit 
)- I was due to start back at work at the end of July, tried "stay and play" sessions for weeks at a nursery running up to my return, but she was in bits even with me there 
I couldn't move more than a couple of feet away without her dissolving.
In the end I moved nurseries (and delayed my return to work by a couple of weeks.) She's in a much smaller place now (max 5/6 babies at any one time). She did 3 mornings a week for the first 2 weeks, now she's doing 3 full days a week (on her 4th week now). The first day she refused to eat or drink anything, the next day she ate a snack but no lunch, but after 4 weeks she has breakfast, snacks, lunch and dinner there and has a lunch time nap (I never thought they'd get her down for a nap!)
The nursery have never phoned me once to say come and get her (the other nursery did this on several occasions and I completely lost confidence in their ability to deal with her in a professional, caring way).
She still cries every time I drop her off, but I listen at the door and she stops within a minute of going into the room. When she first started the crying would be on and off for most of the session (she'd play for a while then remembered she's been "abandoned" and set herself off again!) Now they say she has a few grumbles through the day, but these are times when I would expect it at home (getting a bit hungry/tired etc).
Now onto your issue of DH - yes DD is the same since she started nursery - when DH and I are there she only wants me - she will give DH a quick cuddle when he gets in from work, but then immediately reaches for me to take her back and follows me everywhere I go. I'm not resisting it (at the moment), and taking the view that she just needs extra reassurance until she's completely comfortable being in a strange place with strange people during the day. She spent 24/7 with me all of her life, and now someone else looks after her 3 days a week, it's a big adjustment for them. She only does this on days when she has been to nursery - weekends are no problem - DH will take her off for the morning into town or something and she's fine, so I'm assuming it's being at nursery that is causing it, and that eventually like most things it's a phase she's going through and it will resolve itself.
Oh to have one of those babies that doesn't so much as throw you a backward glance as they crawl off to play with the plastic dinosaurs, it would have saved her (and me) an awful lot of tears!