I like using GIFWrapped
from Daniel Farrelly
to curate my library of favorite GIFs and responses. Of course, my library will never be completely, so when something new, GIFWrapped can search the rest of the web.
It’s a seamless transition, too. Whether or not a search in GIFWrapped surfaces anything from your library, you can press Search to find more options from the web. Tap one, and you can save it to your library from the menu in the lower left. No need to bounce out to Safari or another app.
Bonus tip: GIFWrapped also has an app extension for grabbing GIFs from other apps. It’s one of my favorite features!