NP: It took me a long time to handle my MIL as well. She was critical, wouldn't talk to me unless it was a lecture of unsolicited information.
What helped me was to stop trying to develop a friendship with her. I don't offer up much information about myself or my parents...nothing that I'm not comfortable hearing her tell me I am wrong about.
Also, we implemented a "we each handle our own families" policy. I have very little to do with the logistics of visits, birthdays, any of that. It's on DH to be the communicator. They are his parents after all.
My ILs have gotten into texting, and that has been great as things have gotten better. I can send off a photo of the kids, that makes them happy, takes 30 seconds. It's much better.