It all depends on the baby and the mom. I am 18+3, and do not believe I have felt anything yet. I feel these little pops here and there, but doubt they are the baby and are instead gas/food settling. Anyway, my doctor said I should start feeling champagne bubbles around 20 weeks. My friend who is a ftm said she didn't feel anything until 24 weeks. She has a healthy, beautiful baby boy now. So, we just have to wait until they happen. :-)
I haven't felt anything either and last week at my anatomy scan found out I have an anterior placenta so that's why. Have you asked your doc if you have one? I'm a FTM too :)