I can confirm that this is 99.9% compatible with Cutebound. The only thing missing is adding the human hair options to Cutebound's harpy avians.

I've put together a patch that does just that here:

Acid's Hair Mod - Cutebound Harpy Compatibility Patch

○Olive○ Not sure, the hairstyles are made with the vanilla eyes in mind so there might be styles where the hairline is partially covering the eyes. If you want you can download the zip file, unzip that and edit the hairstyles that are giving you problems, then you can just put the edited forlder in the starbound mods folder.
Make sure to unsubscribe though if you do it like that because the Steam version might override the edited one.

This compatible with the Cutebound mod?

I need more photos

These hairs look really good. Great job!!!