I find that everyone has a different 'personality' around different people, whether it is around family, friends, work, strangers. They also have different memories and ideas of you too so your family will see you and remember you differently to your co-workers for example.

This is completely normal. I feel I can't be myself at work either, because my boss won't allow us to have friendly conversations with colleagues at all. We are only allowed to talk to colleagues if it is work related. Toxic environment, so I am completely restricted on how I behave, speak, act in the office not always out of choice. If I did have a choice, then I'd be very wary of being 'myself' in this environment. I'm making a plan to get out of there.

My old job was great because I could be myself and chat with co-workers during the workday.