I'm sorry for your loss of your Father. I can see how it would leave one in a weird sorta mood, knowing your Dad was sick and suffering. Wanting to find a way to ease his pain, but not willing to lose him forever. 96 years is a long time to dwell in a human body, and most don't even get to see that.
Be thankful for those years you shared together, and be thankful that he's no longer suffering. I know that's a big part of it being weird.
I unfortunately lost my Dad when I was only 30, and he left us suddenly at age 59 of a heart attack. I still miss him something awful at times, but I am so thankful that I had such a great Dad that taught me so much and loved his family completely.
Remember all of the good times you had together and be thankful for him being who he was. I see my Dad in me more and more each year, but I feel I will always fall short of being the man that he was.
God Bless Rudi