I've done remote like this for the last little while. I was pleasantly surprised that my employer was okay with it. Turns out, if you are competent, employers usually don't want to lose you.
Bigger question ... do you want to work like this? I work a lot more/harder than I used to. I have to remember to take breaks. There are no water cooler chats in my life any more ... no chance to grab coffee with a work colleague. I try to go to meetups but it is not the same.
Suggestions:
1) Build a sweet work office. I was working with my laptop for ages and it was tough. Buy a nice printer, external monitor setup, get unlimited Internet.
2) Make sure you have buddies in the home office who can help you if something urgent comes up. VPN/connectivity issues can happen.
There are big questions I have around growth (salary, responsibility are the big ones; technical growth is okay since I put in many hours to study up).
Working from home - if you have a spouse, they need to understand you are working. Home office is best but a separate room may not be feasible.
Don't sweat talking to your boss. I did sweat - turns out it wasn't necessary. You can propose a 3-6 month trial run.
Best of luck