A useful rule of thumb is that you think what it would be without the other person - so a blog just about you would be called 'Me' so it would be Edwin and me. Many people though will say it sounds more M/C if you write Edwin and I looking at you dh .
and just continuing what shouldwe said, if you want to write about the two of going into town or to the cinema for example, and didn't know whether to put Edwin and I or Edwin and me, you wouldn't say "Me went to the cinema" so it's correct to put "Edwin and I went to the cinema."
and similarly, you wouldn't say "that soup really disagreed with Edwin and I." you would say "that soup really disagreed with Edwin and me." because if you forget about Edwin again, you wouldn't say "that soup really disagreed with I".
Edwin & Me is correct. Using 'I' rather than 'me' is compulsory in lots of cases, but this isn't one of them! It would sound a bit odd and pretentious. Lots of people use 'I' instead of 'me' in the wrong places because they think it sounds 'posher'!
OP, can I suggest you say that you are severely dyslexic in your brief bio that will show up at the top of your blog? Then you won't need to worry about any potential errors because people will understand and not judge.