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For happiness, it augments with levels, and just walking around with you, little by little. You know how to check it right? Stats after right cliking them on the left.
Hope it helps, and yes they evolve with 220 after the level up.
I only give advice, take it or leave it.
I did my job, now do yours, a choice.
I'm weird, so don't take me too seriously, I'd feel bad for you.
Unless I say it, I never mean harm, it'd make me look bad if you think so.
And like KuryoZT stated up there ^^^
To check the happiness, go into the computer and on the bottom left corner there's a pokemon checker thing and just drag and drop your Eevee there. It should display your Eevee's happiness.