My buttons all have a highlight around them after I click them. This is in Chrome.
You can set tabIndex="-1". It will make browser to skip this button when you TAB through focusable controls.
Other "fixes" suggested here, only remove focus outline, but still leaves buttons tabable. However, from usability point of view, you already removed glow, so your user won't know what is currently focused button, any way.
On other hand, making button non-tabable have accessibility implications.
I'm using it to remove focus outline from X button in bootstrap modal, which have duplicate "Close" button at the bottom any way, so my solution have no impact on accessibility.