babying

/B EY1 B IY0 IH0 NG/
verb
  1. 1

    To coddle; to pamper somebody like an infant.

  2. 2

    To tend (something) with care; to be overly attentive to (something), fuss over.

noun
  1. 1

    The act of coddling or pampering somebody.

Source: https://en.wiktionary.org/wiki/baby, https://en.wiktionary.org/wiki/babying