Not a specific word as such, but people who use baby talk to their kids.... **** ME. If you actually spoke to them in English like a normal human being, it might aid their development. Bonus points if they're referring to them as "little man", "ickle pickle" or anything involving having snuggles...
picnic
supper
breakfast
mom
gusset
Period
Nappy
Legend
Fair play
Poo
tippy-tappy
Pretty much any of those Jafaican words middle class white kids use (do you ever hear black people trying to sound white?)