I have been looking for Pokebank high and low in the Nintendo eShop, but I always come out empty-handed.
Please help me!
Use the search function and type in "Pokemon Bank". I tried it just now and Pokemon Bank showed up. If that doesn't work for you, typing in "Pokemon" also works, but you'll have to search through a few pages before you find it. After that, you just download it like you would any other game from the eShop.
Source: Just tried it.
Go into Nintendo E-shop and search up Pokemon. Look for the orange icon with a white box and a poke ball coming out of it. Download it and wait. Once downloaded you have to pay £5 to use it for a year.
NOTE:will only work with x,y and above. If you want black2/white2 then poke-transporter is an in app download.
Hope this helps!