Problems in your relationship didn't just happen overnight and won't be solved overnight. A lot of our relationship issues and the way we handle them come from how and what we saw growing up. That's why it's so important to understand who you are with and what childhood wounds and family dynamics they are dealing with. If you don't take the time to learn that, you're going to have a hard time dealing with conflict.
Many times in relationships, we use the term "fight" when we should be using the word "disagreement" due to the emotions that come with the word "fight." Using that word enhances the response to a situation.
Learning self-awareness can greatly benefit your response to disagreements. In a relationship, if just one partner changed their language, it can change the energy of the relationship. You see if your partner loves you they will notice the change and thus change their tone as well.
Like anything worth something, this can be a daunting task due to the years of arguing, etc. that you might have taken part in, but I was told to keep this mantra; increased self-awareness and knowledge+openness=changed behavior.