Converting Mac Roman character to equivalent UTF-8

I have been given some HTML files that use the Mac OS Roman file encoding. The files have French text, but in an editor many of the diacritical chars look strange (i.e. non French)

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The capital E with accent does display properly in the browser as é as do the other strange characters.

I also have some UTF-8 French files that look normal in an editor (é looks like é). What I'd like to do is convert all the Mac Roman files to UTF-8 for easier maintenance.

Simply changing the file encoding in the editor doesn't do this. The strange characters are still strange.

Short of making a conversion dictionary and doing a Find/Replace on all the files, is there a way to do this?