I am uncle of a 7 month old girl. She seems really happy when my mother / her grandma interacts with her. But when I interact with her (try to play with her or put her on my arm), she often becomes visibly nervous, starts looking around for her parents and when she can't find them she starts to cry.
I would really like to help my brother and his girlfriend by babysitting for them occasionally, but I don't feel comfortable with proposing this unless my niece appears comfortable with being alone with me. I also look forward to being a good uncle for her in her future childhood, so I would like to build a good relationship with her as early as possible.
What can I do to get her to trust me?
One factor could be that she gets far more exposure to my mother (1-2 times a week) than me (maybe every 2 weeks tops).