My mother in law does not seem keen to take care of my baby. Have to think of alternatives. Is getting a nanny or infant care centre better?

Infant care centre is better I guess, as there will be trained professionals taking care of your baby, and you will be carefree and feel secured to leave your child there. Whereas if you keep a help you will have to guide her each day what do or what not to. Keeping a help would no doubt let your baby be at home but then it will still be taxing for you to keep a tab on how all is going on at home. It would demand your total attention. In day care, your kid will have kids his age around and will have company, which will develop his social skills as well.