In law bringing baby out

Im a ftm, and since infant care is too expensive, im planning to ask my MIL to take care of my LO when when im done with ML (4 months). Since im currently staying there. For this case, would you let your MIL take your baby out ? To mall, supermarket, wet market etc when youre not around ? If no, how do you tell them nicely not to bring your LO out when youre not around ? Honestly scared for baby’s safety and anything can happen. #advicepls #FTM