The diameter of the biggest part, namely the camera head, is 23mm/0.9in. 

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I have not looked for a specific travel case, but unless you are being really rough with it I would say a padded envelope or a generic small case would do it. It's pretty sturdy. I take it to to the office sometimes and just put it in one of the pockets of my laptop case. Also, for extra protection against scratches I never removed the clear plastic film that comes over the screen. Except for the red ""pull here"" tab, you can't tell it's there. 

Dear customer: This construction time-lapse camera is a waterproof and dustproof integrated design, and the rating is IP66, so you don't need to protect items such as cases. Hope our answer is helpful to you. 

Yes, but you need to remove the quick release plate before putting it in the washing machine.