For me, detachment is relatively easy with casual friends, where I'm not very emotionally involved. I've noticed that when I am detached, I can listen to other people being critical or grumpy without being affected. But if members of my family act the same way, I often take on their negative frame of mind. My own behavior shows me that I have a choice about my response to other people's moods and attitudes.
What I have learned by comparing these two situations is that detachment involves paying attention to my own mood before I have a chance to take on someone else's. Then I can simply see and hear negativity or anger, without becoming negative or angry. I don't have to have a bad day just because someone I love is struggling. This knowledge allows me to let everyone, including myself, feel whatever they feel without interference.
If I pause for a moment before focusing on someone else's mood, I may find out that I have feelings of my own that deserve attention. I will look for those moments to check in with myself today.
"We let go of our obsession with another's behavior and begin to lead happier and more manageable lives, lives with dignity and rights, lives guided by a Power greater than ourselves." ~Detachment
H/T: Courage To Change