Meow! Well, according to 118wiki about caitian attire
"Beauty is revered by Caitian artists along with the general populace. Every colour holds a different meaning for a Caitian, and their fashion is often individually tailored to reflect their personality. Alien fashions may appear strange, absurd or unfashionable by Caitians, or in extreme cases offensive to the eye. However, the nature of the species is to avoid confrontation rather than create it, and any comment a Caitian may make on this matter is always worded exceptionally carefully" (118wiki)
However since you are flying a military ship of the Caitian Sky Navy, I suggest military type uniforms would be appropriate. Mercenary outfit, or one of the Starfleet uniforms with shades of blue-grey, red-grey, or orange-grey colors? :3 I know the Cait ferasan symbol is orange and grey, but their tech is all blue. Should be an interesting contrast :)