Congratulations to you both. Spend as much time as you can teaching your kids that real fathers are capable of being strong and expressing love for their families. My father and many men of his generation didn't.
I remember my son and I, once when he was about 10, went to an NFL sponsored All Pro Dad event. All Pro Dad is an organization that was started by former NFL coach Tony Dungy, to help fathers become better parents and husbands. Check it out if you get the chance. Anyway, we were at this event, and we were on an NFL field with about 500 other Dads and their kids. We got to kick field goals, and throw passes to each other, etc. One of the exercises they had us all do was for the fathers to hug their kids for 60 seconds. That was it. Just one minute. My son and I were embraced when he said to me, "What's wrong with everybody Dad, we could do this all day?" I looked around, and was shocked to see that about 90% of all the Dads were physically uncomfortable. And so we're their kids. It was unreal. When we left my son said to me, "I'm glad I have a Dad that I know loves me." It made be almost break down and cry.
Another thing I never took for granted, was the chance to tell my son that I loved him every time I dropped him off at school, or sports practice, or whatever. One day when he was in high school one of his friends was with him, and when we parted we told each other our " I love you," and as they were walking away the friend says, "Dude, I know he cares about me, but my dad never tells me that." My son is now 20. We still tell each other that all the time.
I know my grandkids one day, when my son has children of his own, are going to grow up and not have to try to gain his love or approval. He's going to tell them and let them know, no matter the circumstance in life, their dad (and grandad) love them.
The point is, of course you love your child, but show them. Tell them. Hug them. Let them see you tell their mother too.
Enjoy the adventure of being a dad. It's an amazing thing!