Giving Up

I would recommend you to break up the lines, maybe you want to try and do it like this:

And I keep telling myself:
"Just give up on love".
It's easy to say,
but so much harder to do.
I hear it each and every day:
"Just give up on love",
it's the only thing left to do.

^ Like that it'd be more inviting actually. I like the fact that you started your poem with "and" because that gives the reader the feeling that there was something before this, which has to be otherwise the speaker wouldn't want to give up.

I have to admit that it may feel like it's the best thing to do, but it's not. One should always fight for love and believe in it, regardless how many let downs there were, it will be worth it in the end. That's my opinion, at least.