i think it sounds like you've come to a good compromise with your DH to say yes in principal but leaving the door open to re-evaluate if needed. there is nothing wrong with hiring a cleaner and/or a babysitter/nanny to help out if you need it. and start stocking up on menus from places that deliver

hopefully with some help around the place, it'll give you a few days to spend with your DS having special mummy/DS time before the baby arrives