I think minimal grooming supplies are a good idea in a kit.

Mine has a lot of the things others have suggested like nail clippers, floss, etc., but some things I've trimmed down compared to above.

For example, no shampoo, lotion, shaving cream; rather just a small (1oz) bottle of Castile soap and the little soap strips mentioned above. Only a single razor, etc.

You can shave with soap if you need to, and I'd rather have a multipurpose item even if some are less effective.

The one thing I did want to mention is that every type of "wet wipe" that I've tried eventually dries out in my kit. You might want to keep an eye on that as it is really a bummer to need one, open them up and find them all dried out.

-john