How should I deal with my father in this situation (see details)?

My step-father died a few days ago and my father is somehow making it all about him. My father never had a good thing to say about my step-father until recently, when my step-father was diagnosed with cancer. First he was angry that I didn’t call and let him know as soon as I found out that my step-father had passed away. Now he thinks I’m being rude for not constantly updating him about every little detail. Meanwhile, I’m trying to comfort my mother and accommodate her in my home since she doesn’t want to be on her own right now (which I totally understand).