You will find your calm, but feel free to periodically freak out until this is settled.

Fuuuuck the airlines. It is best to book through a service like travelocity etc and NOT through the airlines directly. And that is only mildly better. Try not to fly on any Friday.

Not to be morbid, but who is processing your dad's body? They most likely will have a FREE online obituary service. Most people will find that and you can put a one line announcement in the paper directing people there is you need to for much less $$

The funeral home should also be getting you a copy of the death certificate. You will need multiple copies!! At least 6. Really. And depending on where you are, it might take a while to get it. This is totally out of your hands and I hope there is not wait.

Eat well. Not convenience store crap. Make a roast or a casserole or ask someone to feed you if they offer to help. You will need all the strength you can get physically too.

The people who are going to show up will. Let them sort the kitchen and feed you and make phone calls if they can. Think of anything that can be done in 30 minutes and pass it on.

Most households can be divided into three categories: sentimental and essential (records and things to be passed on), stuff valued under $15, and stuff valued for more than $20. You can donate the under $15 stuff and sell anything more valuable if it makes sense to spend the time. The fourth invisible pile is trash. I find it best to toss trash in anger. It is very rewarding as far as tasks go.

I don't mean to sound cold. You asked for practical advice. Aside from that I am really sorry anybody has to go through this. Especially suicide. Be sure to get yourself a big damn hug.