I'm sorry to hear about your loss, Kimba. I don't know how your family came together for the death, except that you mentioned a funeral. Different religions have different ways of coping with this, the Catholics have a wake, the Jews have a shiva - - there's a certain amount of ritual and routine associated with each group's formalized mourning and it provides an opportunity for family members and friends to meet. Depending on the family, with prayers or without. I'm not sure what if anything was organized for your dad. A lot of families now, regardless of the religion, organize a "Celebration of His Life," where folks get together to eat snacks or comfort food, look at pictures, reminisce and console one another. I don't know if it's still possible to organize one or not.
After the initial ceremonies and rituals have been completed and the out-of-town guests go back home, for the religiously-minded, there are usually ceremonies of remembrance that you can attend at a place of worship where the recently bereaved can gather at a fixed time (usually early morning) to remember, usually by reciting prayers for the deceased, or for the easing of the survivors' pain or (for the Buddhists) that the deceased not be reincarnated into the world of suffering and death but will remain a disembodied soul in the void or reincarnate as a Boddhisatva for the sake of all living beings. Whatever you are comfortable with, and whatever your own religious convictions.
From what I've seen, routine and ritual are great comforts. So is talking over your loss and your feelings with a trusted friend or relative.
As time goes by, you should find that you are adjusting better to the loss and functioning better. (Don't even try to function in the immediate aftermath of the death.) If you don't find you are adjusting better after a month or two, try to get some professional help. Mention it to your GP, who may set some time aside to ounsel you herself or can refer you on to a psychologist or psychiatrist. Try to remember, hard as it is, that life goes on and somewhere down the road is a brighter tomorrow.