I've H Box, Swift, VC and P Croc an as yet, no H ostrich.
Ostrich is my favourite skin and I know it well, and though my ostrich is non-H they are still great. I tend to go for the colours no one else likes: neutrals, from ivory through tans and browns to black. I think ostrich adds so much to these these colours and just look better and better with age.
Longterm
As
Forever said, watch the sunlight (though stored in a dust-bag - handles and all - that's not going to be much of a problem).
More importantly, keep away from grease and that includes HANDS and anything you clean with (just use a clean cloth and let H do the rest come spa time). Ostrich darkens, goes shiny and looks unsightly if it absorbs oil and grease. Don't touch with your hands straight after moisturising, applying lotions, suntan 'stuff' or eating crisps/chips etc. Apart from my black, I either wear gloves, tie a twilly/scarf when carrying by the handle as just the natural oils from the hands can stain irreversibly.
Unlike croc or Box you never have to worry about rain