First of all, congratulations!
It's a wonder isn't it, holding that little one in your arms? You don't forget that feeling. Ever.
As others have said, settle down with the little one and recover as a family first. Then talk with your SO.
Everyone has different circumstances. For some, transition is appropriate. For others, they can put transition aside believing they can manage, and also give their kids a better opportunity. In the end, it's what's best for your circumstances that should determine your decision.
Wishing you, your SO, and the little one all the best... Sooooo exciting!!!!