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Unless your sweetheart has taken you by the hand and shown you precisely the piece of clothing or jewelry and said "I want this someday" I would avoid both gift options like a landmine. He has a daughter who is vegan who I assume I will not meet for a long time, because that's only properso I think I'll make one buttery batch and one vegan batch — yes! Jewelry is tricky, not all girls like it and many who do have very specific tastes, so tread lightly.
There are several services online that print photos in many different media, including canvas, aluminum, wood or even on chocolate. I'm going to vote against the shopping spree gift, or at least for being very cautious about it until you're very serious with someone and have established you shop well together.
A simple portrait of your sweetie dressed as Sherlock, a cartoon of them with the Doctor, even just a picture of a smirking Damon Salvatore…
no matter what, it will be utterly unique to them and incredibly special.
I still remember the one he made about my little sister and just thinking about it makes me giggle.