Why should he have all the benefits of marriage, ie trailing spouse, dependant on him entirely, and therefore on some level beholden to him, without doing any of the leg work.
I suppose you gave the baby his surname too didn't you?
(not judging, merely kicking myself for having done this... why oh why did I do that?)
DON'T ever allow yourself to be utterly cut off from everyone you know and care for, and that care for you.
If he DID take this job without discussing this with you it clearly demonstrates that he holds your opinion in very low regard, that your say holds nothing, and your situation, concerns, wants and desires are immaterial.
He is moving, YOU don't need to do a thing, HE has to win you round, by at least making the effort to make up what you stand to lose.. your freedom, your friends, your family, your support network...
FGS DON'T GIVE UP YOUR LIFE FOR A MAN, much less one that won't marry you.
Listen to your gut feeling, you are not happy about this and are seeking reassurance. Reassurance we don't seem able to give you. Reassurance you can't find in your heart either.
Either this bloke steps up to the plate, does the right thing, signs over half the property, funds a credit card/proper allowance, covers child care so you can work if you wish to, and does the decent thing and puts a ring on your finger.
Or he doesn't
If he doesn't please don't see your baby short, don't commit to a non-life like that. Not before making sure that you will have the safety, security and freedom to improve your own life in the new place.
If you are unsure about stuff now, when you are across the other side of the country, lonely, missing your old life, I swear, you'll take it out on your new life, and you will blame him.