Feeling baby!

I have been having this feeling in my belly since last night. Literally feels like something is moving inside me. Little flutters and fast movements. I felt them when I laid down last night and again this morning when I was laying in bed. I'm a nanny, I'm up and down all day moving around and have felt this same sensation on and off all day. I know I am only 13 weeks 1 day and everyone on here is always telling people that it's too early but I really think it's the baby. It's not gas bubbles or anything. It's a completely new feeling that I have never felt until last night. Anyone else feeling movements? Or felt them this early while pregnant with their first?