Mama needs sleep!!

Hi ladies my son is 6 days old and BF like a champ! He eats about every 2 hours which is exhausting in itself but the hardest part is we can't get him to sleep anywhere other than our chest which we know isn't safe. We have tried swaddling him, and maybe once a night he will sleep in his crib for 2 hours max. I'm absolutely exhausted and didn't experience this with my daughter. They say to sleep when your baby does but he only sleeps on our chest 🥴😴😓 Do you all have any tips? Is there a light at the end of the tunnel?