Mother In law babysitting

I need some advice on how to cope with having my in law baby sit my 3 months old. I know she will spoil him and am fine with that she is his grandma but I feel like he will bond more with her then with me since I have to work full time and it’s stressing me out so much just the thought that at some point he will prefer her over me, it breaks my heart just thinking about that. Also she wants to take him out to parks and the zoo and other places and I honestly don’t feel comfortable with her way of driving, she has gotten into so many accidents and she has such a small car, am just freaking out about everything. She sleeps and cuddles with him in bed all morning and that also is driving me crazy that I can’t no longer do that. I don’t know what to do, I feel so sad.