From a Dad of three healthy boys:
Tell the hubby to buy a recliner sofa .... if the baby wakes at night just hold the baby and sleep in the recliner together, maybe watch sports or something, background noise helps.
Always co-sleep with the baby. Just skooch down so your noses are at diaper level.
Of course .... breast-feeding is PARAMOUNT.
Tell the hubby .. (if money is tight) .. TOUGH SHIT, WORK 3 JOBS ... Mommy MUST stay with children until school starts at age 6.
After you make 1 ..... make another ASAP. My oldest 2 are 18 months apart ... it's better that way ... they play together .. you have all the stuff ... and you just stay in baby mode.