It sounds like you've got a very good supply of milk. So I would contact an IBCLC and get that baby on your breast! Baby is MUCH more efficient at drawing milk from the breast than a pump. It's hard in the beginning to commit to getting them on the breast. To learn to trust that baby is getting what they need. But it does sound as if that should be your next stage, a focus of baby on to the breast.
Once you get that established, you'll get a little more sleep. Pumping, feeding, washing pump parts, washing bottles.... That's a lot of work to get into 2 - 3 hours when it starts all over again. Going straight to the breast you just nurse, finish and fall asleep with baby! You'll still be tired (can't be avoided during the early days) but you'll have more sleep than you're getting now.