So I just finished reworking on one of my old games so that it looks good as new. Is there a way for me to take the .fla and turn it into an html with something like Haxe? I'm not so versed with coding so I wouldn't really know what I'm doing. Or maybe can someone guide me through this?

The closest you could get is using Haxe+OpenFL, exporting all your movieclips and stuff, writing a bit of pure code, and crossing your fingers that it works smoothly. Probably, you'd have to export all art from the FLA, rewrite the whole game in Haxe using OpenFL/Flixel/etc, and then use the art as art and not movieclips with attached scripts.

If it's AS2, this site uses Ruffle to run them which seems to be going pretty well. It has limited AS3 support though.