Hello!

Princess Strategy
http://www.mangago.me/read-manga/princess_strategy/

Can you handle horror manga? If yes this a baby reincarnation.

Tensei Gotoki De Nigerareru To Demo, Niisan?

http://www.mangago.me/read-manga/tensei_gotoki_de_nigerareru_to_demo_niisan/

NOT BABY BUT KID IS THE NEXT RECOMMENDATION SORRY.

Dream Life -Life in a Different World of Dreams-

http://www.mangago.me/read-manga/dream_life_life_in_a_different_world_of_dreams/

I'll Be The Matriarch In This Life

http://www.mangago.me/read-manga/i_ll_be_the_matriarch_in_this_life/

Tensei Ouji wa Daraketai

http://www.mangago.me/read-manga/tensei_ouji_wa_daraketai/

I am the Precious Daughter of the Greatest Villain in the Fantasy World

http://www.mangago.me/read-manga/i_am_the_precious_daughter_of_the_greatest_villain_in_the_fantasy_world/

Tada Shiawasena Isekai Kazoku Seikatsu

http://www.mangago.me/read-manga/tada_shiawasena_isekai_kazoku_seikatsu/

Heart-Warming Meals with Mother Fenrir

http://www.mangago.me/read-manga/heart_warming_meals_with_mother_fenrir/

NOT A REINCARNATION BUT there is a baby.
There was a Hero

http://www.mangago.me/read-manga/there_was_a_hero/

I know I barely put some of reincarnation of babies but mostly kids, but I still hope you like the stories. (￣∇￣")

Y-you... I think I just fell in love with someone I've never even met...
⁄(⁄ ⁄·⁄ω⁄·⁄ ⁄)⁄

lol(≧∀≦)