Babies Born at 37 Weeks

My OB is planning on scheduling me to be induced at 37 weeks (medically necessary) but that's now considered to still be "early term" and ideally baby should be born no earlier then 39 weeks. Id love to hear experiences from other Moms with "early term" babies. Did your little one need any additional time in the hospital? Did they suffer any health problems during the first few days or weeks?