I also think this is really hard, not only because of the time crunch but because the lives of people with children are really different than without. So I sometimes feel like I'm giving a blow by blow of my child's life, which is really boring to someone without kids. So then I feel like I'm trying to NOT talk about my kids, which is hard too. I do really value those friendships and work on them, but it isn't the same as before I had kids. Much more checking in via email and less face to face time.
It has been really helpful to make friends with kids though. I know when I joined a moms group at the beginning it felt really weird, but three years later I've stayed friends with a couple of the women. Also, what does your daughter do while you're at work? As my (3 y.o.) daughter has gotten older we've become more friendly with the parents of her friends in her preschool class. There are more playdates, etc. You could try starting a parent's group at her daycare, should she go to one. Finally, when she's just a little bit bigger, you could enroll her in lessons (swimming, gymnastics, etc) on the weekends and meet people there too. I would venture a guess that lots of the other moms are also looking to make new friends with kids the same age.
Good luck. I have found this to be one of the hardest parts of parenting. It's gotten better as more of my friends have had kids and I have met/become friends with more people with children. But it did take a while.