For your first question, I think the word cosmetic would work, at least for beauty. From Merriam-Webster:
- : of, relating to, or making for beauty especially of the complexion
- : done or made for the sake of appearance
You might also consider using your own word, grooming, attributively. For example, you could talk about grooming implements or grooming principles and I think the term would be understand to have the meaning you describe.
For your meta-question, I'm not sure that such a term exists. If it did, I would think it most likely to come from classical Latinists, but the closest I've found is that some forms of derivative adjectives use endings that specify "of or pertaining to". For example, from An Epitome of Andrews and Stoddard's Latin Grammar (1869):
§128. Derivative adjectives are formed chiefly from nouns, from other adjectives, and from verbs.
I. Those derived from nouns and adjectives are called denominatives. The following are the principal classes: —
- . . . (d.) The terminations ēüs or īus (Greek ειος), and also ĭcus, belong to adjectives formed from Greek names of men, and denote 'of' or 'pertaining to.'
- (a.) The terminations ālis, āris, ārius, ilis, atĭlis, ĭcius, ĭcus, ius, ĕŭs, and īnus, denote “belonging” “pertaining” or “relating to”; as, capitālis, relating to life; from caput.
As you can see from the first part of this quote, nineteenth century Latinists did not shy away from giving names to various types of grammatical constructs, but adjectives with this kind of meaning didn't get a special name.
Similarly, of the suffix -al as in your example sartorial, the Oxford English Dictionary1 says:
- Forming adjectives with the sense ‘of or relating to that which is denoted by the first element’, e.g. abysmal adj., global adj., meditational adj., mucosal adj., optimal adj., palatal adj., rotational adj., societal adj.
So there may be a term out there for this type of adjective, but if so it is quite obscure.
I will also note that the OED contains over 2700 adjectives that include the exact phrase "of or pertaining to" in their definition, so it is a very large category.
1 "-al, suffix1." OED Online. Oxford University Press, March 2017. Unfortunately, this is a subscription service; if you don't have access, check with your local library to see if they have a subscription or print copy.