Advice for Pregnant SAHM

Ladies I need advice, my husband and I are due in May with our third baby. Like usual I have been diagnosed with Hypermesis, I can barely take care of the kids let alone the puppy. He insisted on getting a puppy but is never home because of his work hours so I am taking care of this puppy all day. I can't handle all three of them and I can only imagine what it is going to be like when our third baby comes. I have suggested finding him a new home, one where they are better suited to take care of him but my husband won't budge. What would you do?