I just wanted to share this excellent guest essay, by Stefan Schubert & Lucius Caviola, we've just published on utilitarianism.net. As the authors argue: "in order to be effective in the real world, utilitarians should stake out a middle way [between common sense morality and naive utilitarianism]. They should by and large adopt the standard common sense virtues. But in addition to them, they should also adopt six virtues that go beyond the common sense virtues. While a utilitarian life is pretty normal in some ways, it is very different in others."
Hi! Sure, their proposed utilitarian virtues could fit neatly into Hare's "intuitive level" of morality, i.e. for guiding everyday behavior.
I don't know of much other work that really develops such concrete proposals for utilitarian virtues, though you may wish to check out the "Further Reading" suggestions at the end of the article. Most of the related work that I'm familiar with instead addresses the question of how to think about the relationship between utilitarianism and virtue/character in the abstract. On that topic, see:
Or, for more of an overview, you could try the second half of my (in progress) Oxford Handbook piece, Consequentialism: Core and Expansion.