I'll be Frank (and I'll be Earnest, too) but I can only make assumptions, forgive me if I'm wrong. When you say "boyfriend" I am just assuming this is not the father of your infant. If you have not known this man long, please do not leave him with your child. For that matter, jails are full of innocent people (if you know what I mean.) I recently saw on the news about a woman grieving over her year old daughter she left with her boyfriend while she went to class at the local college. He shook her baby to death. She says she couldn't understand how he could do this because he treated her like gold the whole time she knew him. Bad people don't have the decency to wear a sign or show overt indicators they are not nice people.
I used to be trusting of people, way too trusting. It sounds like this may not be the best time to move, especially with a young child and no family around. If you move, please contact the CPs to find daycare centers and get all the financial help you can through grants and public assistance.
If you think I'm being paranoid, just think of how you would feel if something happened to that sweet baby. You can't be too careful.
P.S. I know what it is like to feel like you've got an opportunity you have to hold on to, but it sounds like you may have a lot of things going against you with this. I recently turned down my dream job after a lot of grieving over it but finally decided it wasn't what was best for my four children. I've had many regrets over not taking this job (which would have required me to move out of state) but there came a point I had to realize the cards were stacked against me. Surely, you have another option. Why can't you go to the vo-tech and become an LPN first? Don't you have a local vocational school? It's only a year! You could then work and do an online LPN to BSN program...it isn't that out of reach! I'm not going to think I'm going to change your mind, but in case there is any chance of getting you to consider an alternative I want to put it out there.