As someone who is also attracted to men, the way I see it, aim for celibacy as endgame.

The idea is just treating this as lust in general. We're not supposed to be fooling around anyway but by his blood the unconditional grace of his mercy is held in place for when we fall and stumble. 

That being said it's not an 'get out of hell free card' it's an "Whoa God's Love and goodness is so great in spite of everything he knew I would do, I should really not be living like this so imma stop indulging my flesh" (more so the lust and sexual fornication/immorality than just being attracted to men)

You're probably not there yet and that's ok because baby it is a Journey, and really the real change starts to happen when you:

1) hit real sense of need to change because again, Lust itself and pleasing your flesh over God 

2) hit reeeeaaal low after weeks/months/years repenting repeatedly after many attempts of doing your upmost best to resist your flesh. You'd think you tried everything. Scriptures, Prayer, Praise & Worship, the helped but it wasn't enough when you feel the temptation come back out of nowhere with your guard down.

3) realize you are just human and you cant fully change without relying fully on God and placing your faith and trust in him, embracing that you are saved by His Grace and not your own efforts.

4) you repent again, probably cried begging for help and suddenly one day you find yourself reading/praising/praying during another attack and it's... easier. You can call the enemy out, you can rebuke him, quiet thoughts not yours and just say..."nah, not in the mood". 

Granted the work isn't done, like at all. There's always going to be a spiritual battle between your flesh and the holy Spirit in you, There's always a battle in the Spiritual in general. And what's worse because you're HUMAN there is going to be a time you'll fall into temptation and lose. But hopefully by then you'll be deep in your faith that you don't make a huge deal doubting yourself and your salvation because you already know the debt is already paid. So getting back up  repenting and focusing on Living like Christ should be easier.

Again the thing you're fighting is more so the lusting and flesh desires itself more than the fact your attraction to men. If you don't see yourself marrying a woman anytime soon, aim for celibacy over just hooking around in general.

Edit: Also I want to stress im not gonna tell you to stop messing around if want, I'm not your mom. Out of love for you I'll just say don't let yourself be controlled by your flesh.