The Sandhill cranes and snow geese, amongst many others, are still in NM. I watch the cranes and geese fly over head all day long. They graze in the fields all day. In the evening they fly back to Bitter Lake (mostly) and probably stick around until Feb or March when they start heading back north. So if it's the birds you are looking for, try looking around NM water (Bosque del Apache National Wildlife Refuge, Elephant Butte SP, Bitter Lake National Wildlife Refuge, Bottomless Lake SP, Brantley Lake SP). Basically any largish amount of water south of ABQ and not in the mountains.