Thanks to everyone for their advice!

Today, after taking a bit over 48 hours off to let my skin recover, I shaved again with MUCH better success. Used a lighter touch this time, smaller angle too. I did my cheeks from the side burns down to below my jaw. Very smooth and comfortable.

I tried to do my neck, but wasn't comfortable with my technique there yet, so didn't push it. The rest of my face: neck, chin and upper lip I used my old razor - doing this in baby steps.

Afterward, when I used an aftershave, the only place that stung from the aftershave's alcohol was the areas that I used my old fusion on! The parts I used my straight razor on were smooth and pain free. No razor burn at all. =)

I'm going to keep going like this now, adding in more parts of the face as I get accustomed and used to the straight razor. I'm hopeful its all going to just keep getting better from here on.