I am glad you were able to come to a compromise with DH, it makes it so much easier when they are supportive.
I can understand that by expressing it makes it easier to know how much she is taking & that is great peace of mind. I remember in those early days sometimes I would only pump 30 ml but he was gaining enough weight. Please remember that you DD will always get out much more than a pump ever will. I would also suggest that you maybe put her on the boob for say 5 mins on each side just to help things along as the nipple stimulation will help with your supply. Theres also some herbs and drinks that can help with your supply.
Good luck, hope things go well. I would luv to hear how you are going.