THATS HOW YOU DO IT

Keep your relationship private, just between the two of you. 
Don't put your problems online, because that will just lead to you two having more problems with each other. 
Nobody else needs to know your business but you two because honestly, nobody really cares. 
You don't want to become that annoying couple who people will look at and say,

"Oh, they're fighting again? They're always fighting. But they'll break up and eventually get back together. That's what always happens". 

If you are having a problem with your partner, don't write a status about it, don't tweet about it, don't blog about it, just talk to them directly because you're just drawing a lot of unwanted attention towards your relationship. You don't need to constantly announce every time you guys have a fight and put that person on blast. So whatever problem you guys have, keep it to yourselves.