Now that I am 13 weeks can I feel little flutters of my baby moving I been feeling it when I lay down mostly?

USUALLY >15 weeks. If you are thin you may feel the baby early but women generally don't begin to feel the baby move until sometime between 16 and 22 weeks particularly if it's the woman's first pregnancy. The initial sensations you'll notice aren't real kicks, either. Instead, some women describe the feeling as being like popcorn popping or butterflies in the stomach.