As someone who adores parakeets (and has a few), just give them all to me. :)

For iPhone, you can testflight Mlem or Memmy and, although I prefer Memmy, they're both pretty great. I'd definitely give them a try.

Just loaded the testflight of Memmy (thanks to your post) and man, loving it so much so far. It perfectly compliments the site, at least for basic browsing (I haven't tried posting anything other than comments).