L.C.
Hello M.
It is very normal to feel that way. I know I did and sometimes still do I have a 4 and a 5 year old and I think That as long as they could feel that I was ok with the person that was taking care of them they were ok. I have been luckly that it has been all family that has watched them but when my bother-in-law and sister-in-law watched them I had a hard time with it and then they seem to not do so good.
As my boys started school I have found out that they do better in school being around more people adults and kids. the other kids that never left their parents side screamed and missed behaved in school because they didn't know how to reacted with out their parent being there with them. I think and seen for myself tnat the kids that have to be in a daycare program do just fine. Make sure you make some time each day just for you and your child to bond once they have to go to a daycare program. Make sure that you didn't forget about them. Good luck and congrats on the adittion to the family