You sound like a chip off your dad's block.
Don't worry about the funeral and how it will go. I'm sure you'll all be there, being strong for your mum and each other.
Death isn't the end. Dad might not be there physically but he'll pop up time after time I know from experience.
Next time you hear that Adele song on the radio it will take your breath away and make you sad, but it will also make you think of your dad and how special he was.
There are always sad memories to go with the happy/glad ones. There isn't anything we can do about that except bear them when they happen. It does get easier over time, really it does. That sharp pain becomes less sharp, more of a dull ache. Eventually you will be able to think of your dad with sadness but no pain.
Your little girl will need special support. Our grandson found my father's death very traumatic. Perhaps have a word with her school and warn them. I know it's currently the holidays but she'll grieve for a while yet. Does the school have a counsellor, most seem to these days.
Stay strong for a little while longer. Grieve when you can
Best Wishes to all of you