Definitely normal, and I'm there with you. I'm 28 and pregnant with our first as well. I had cramps the week I found out I was pregnant (thought it was AF), and I still have them a little bit now and then (I'm 10 weeks.) My nurse said that it's your uterus stretching, and sometime b/n 8-12 weeks the muscles give up. If you have any bleeding along with, call your doc. But cramps are normal, some women have them, some don't. Mine were so bad sometimes, for about ten minutes, and then they'd taper off. No worries!
Congratulations on your pregnancy!