Have good bandwidth. If you can’t get good bandwidth at your home, get space somewhere with good bandwidth. Coworking space has been a thing for a while now.
Have a dedicated workspace. If you can’t have dedicated workspace at your home, get space somewhere.
Have a good webcam, microphone, and headphones. Usually, a professional-level laptop will suffice for the first two. Plan on spending $50+ on the headphones. Significantly more if you want wireless.
Use the headphones.
Turn on your webcam during video conferences. This is the most underrated remote working technique. Showing your face creates more presence. More presence helps you to be heard, remembered, and decreases emotional distance with those on the other end of the line. It also allows you to communicate nonverbally.
Do mute yourself if you’re not talking. You never know when a child, dog, leaf blower or broken glass will punctuate a conversation.
Be presentable and have a presentable background. It doesn’t have to be a photo backdrop, but it shouldn’t be piles of laundry, either. Sit upright, for heaven’s sake.
Be on time and prepared for videoconferences. If you’re going to have to share your entire screen, close apps and browser tabs you don’t want people to see ahead of time.
Learn how to write properly. Written communication is going to be the vast majority of your total communications. Learn the difference between "there", "their" and "they’re". Do not abbreviate unnecessarily. Don’t try out new slang on your coworkers. This applies to all written communication. Chat is no exception. Use Grammarly’s browser extension to make sure everything you write is as correct as possible.
If your company has an office or offices, get an in-office buddy to occasionally clue you into the gossip and general emotional temperature there.
That said, don’t be paranoid. It’s hard not to get paranoid.
Don’t isolate. If you’re already at a coworking space, great! If you’re not or it’s not particularly social, go to meetups, or schedule coffee with your friends, or play a team sport. Leave your house every day, even if it's just a walk around the block. Socialize, even if it’s just on the internet, with non-work people every day.