Hey Softball.
Although I would tend to agree that the withdrawals probably won't be bad (or too bad), it doesn't hurt to be prepared. You say that you have been able to go a few days without drinking but really that's only just enough time to get the alcohol out of your system from the last binge and get a healthy day or so in. You're still young so it should be okay, but please don't be afraid to seek medical assistance if you find it is more than you can handle. Alcohol withdrawals can be scary. (Not trying to freak you out or discourage you, just trying to help you prepare.)
As for the smoking thing, you're right that there are two schools of thought. It might be worth it to quit both at once, and see how that goes. I have done that in the past, with good results. The last time around however, I found it was too much and started back up smoking again with a couple of months of quitting drinking. But now I have been drink-free over 8 years, and smoke-free for 7. Find whatever approach - and support system - works for you, and use it.
Finally, I am very sorry to hear about your father. I wish you peace and light in these troubled times. Feel free to message me if you ever need someone to talk to, or just want to chat one on one. I usually check in at least once a day, usually multiple times. Take good care, and good luck with your efforts. Leaving drinking and smoking in the dust were two of the hardest things I've had to do but I really cannot stress enough how much better my life is now. I'm not even the same person. And none of it would have been possible if I hadn't chosen to get sober first.