I use Twitter a whole lot, so naturally it would make more sense for me to find a way to integrate LinkBunch and Twitter.
After having a word with @abhin4v (thanks, dude!), who has just written a Twitter bot for MyAnimeList, I've taken @linkbunch for use as the bot.
It will work in very simple manner. You need to follow @linkbunch. After that, whenever you need to make a bunch out of a few links, just send it a direct message with all the links and the bot will reply back with your bunch link. Doesn't get any easier than this!
As it says on it's Twitter page, the bot is not yet active, but neither LinkBunch!