Kim Kardashian and Kanye West extended their family when they welcomed their baby boy via surrogate last week. Kim was in the middle of studying to get her law degree, while Kanye continues his studio work and even though they have some help with the newborn, a source tells PEOPLE that they are very hands on. 

Apparently, the family “are all adjusting to having a newborn again, but so far, so good.” 

“[Kim] and Kanye have both been up at night with the baby,” the insider reveals. “He is still small and on a strict feeding schedule. They have to wake him up to feed him.” Kim is said to be focusing on her other children when her son is sleeping in the daytime, and we recently got to see one of the activities she did with her daughter North, that consisted of a music video to Lil Nas X's "Old Town Road."

Alo Ceballos/GC Images

While the West's enjoy their precious moments with their newborn, fans are eager to know the name of Kim and Kanye's son and have already come up a theory. 

Since Kim accompanied tweets with a teddy bear when discussing her son, people are alleging that his name may be Teddy or Bear. Only time will tell.