In the early days, I went to see a Psychologist. Whilst this isn't for everybody (I thought it wouldn't be me) I was very grateful that I did. The Psych was gay, and was able to put things into perspective for me.
Yep, guilt is the No.1 thing I felt too. You're right, it is hard, and uncomfortable, but I can assure you that it gets better. If you both still love each other, then what you have had for 25+ years can and will see you both through this. It does not mean the end of your relationship, just a shift in the dynamics.
I still cry at the memory of coming out to her, and what her words were "I can't stop loving you" she told me. She knew that for the previous few months that I had teetered on the edge. As hard as it is for her, she will know how big a thing for you it was to finally come out.
Have you told your kids? and the rest of your family? When I told my folks I was terrified. I've always been very close to them, but they seemed to display homophobic tendencies. In the end, though they aren't entirely comfortable knowing that I am gay (and I haven't tested their resolve by introducing someone to them), they accepted it openly. My father was really upset when he thought how hard it must have been for me to hold this in my entire life, and was angry with himself for not creating an environment where I could have told them when I was a boy. The 1980's, when we should be expressing ourselves, weren't exactly the time where society made it easy. You truly had to be courageous.
It'll be made all the harder at the moment with being in lockdown. Harder to get out and speak to people. I would suggest that you keep communicating with your wife and family. But I also think that you need to reconsider "blaming" yourself (you haven't done/caused anything). I was doing that too, but when I came to accept that there is no fault, it is just what is.
You have loved, and you still love them. You are still there for them. You are now on the correct path, one to a better (correct) version of yourself. I doubt that any of your family would want anything of or for you, than for you to be happy and healthy.
It's different for everybody, I've chatted to guys here that have embraced the new them and been out on heaps of dates. For me, although "Out" and okay publicly accepting it, I haven't ventured down the dating path. Why? I don't know.
So, you are not alone. If you have friends you are comfortable talking to, then I'd suggest doing just that.