Conversion of an infant – anyone have experience or knows how it works?

I’m Jewish, my fiancee is not. We’ve agreed to raise the kids Jewish, but she herself is unlikely to convert. Any kids will obviously be technically not Jewish when born. I want to know how they can be converted officially?

According to myjewishlearning it says that an infant merely needs to have tevila in a mikveh and that’s all. That sounds too easy to me – does anyone know if this is indeed the case? Will that suffice to make the child Jewish even according to orthodox and Israel?