Well, I am not experienced at all in going deaf since I've been this way all of my life but here goes some help:
Learning ASL is a good step. There is a website called
www.aslpro.com. It is excellent and I highly recommend it. There are also good YouTube videos on ASL lessons. If you personally know any deaf people fluent in ASL or anybody who speaks it fluently, you can ask for them to teach you.
As for lip-reading, that is a very hard skill to master. Not all deaf people can read lips. I can very well, but it isn't a superpower. It takes effort. In fact, only 30% of the English language can be shown on the lips. 70% is not visible. It is easier to lip-read at a younger age and you're forced to do that. But when you're older, it is harder to learn how to.
I do know that as you lose your hearing, your speech will get worse, and not everybody you communicate with will sign. You could see somebody for an official diagnosis on a hearing loss and possibly get hearing aids if it is severe enough.
I don't know if I was that big of a help, but...well, good luck.