Honestly, at this point, this is not the way for your husband to be "more involved." He can do ANYTHING else but feed the baby. It isn't really a big deal. The last thing you need to be doing is trying to pump and have your DH struggle to give her a bottle - possibly frustrating the baby and causing nipple confusion. Pumping is a PIA and I wouldn't do it unless necessary and right now, it's not.
I don't get why some Dads are so obsessed w/ feeding their baby - it's literally the only thing the mother has to do, let it be. Tell him if he wants to be involved he can change her diaper anytime, get you water and snacks while your nursing, cook meals, clean up, do the laundry, burp the baby, play w/ the baby, bathe the baby, rock the baby, take her for a walk, etc.
It's more trouble that it's worth.