Is it OK?

When I take my baby home from the hospital, should I go straight home with the babe or is it OK to take the babe to my mom house? I'm asking because I live in Jersey and my lives in Brooklyn and she can't get around and I don't think it would be fair that my husband mom has a chance to see the baby once the baby is born and she doesn't. I'm not sure what to do, just don't want her to feel left out