To my mind the best 2 places to start with Zelda are Link Between Worlds and Wind Waker HD.
They're the most recent so they fit the modern gaming palate, they look fantastic so you don't have to squint past dodgy visuals to the game beyond, and they're both excellent games and good representations of the Zelda series.
From that point, OP can get an idea of which elements they enjoyed and go on from there.
Given that they own a 3DS, Worlds is probably the best place to start, until they have the cash for a Wii U.







