Adding to this, there is a specific kind of meditation you could try called metta (aka loving-kindness) where you focus on cultivating benevolence towards yourself and all things. During a session you follow a similar sequence: first focus on cultivating loving-kindness towards yourself (since this is the base from where empathy grows) then you gradually extend it to people you love out to people who you have difficulty with. If mindfulness is an exercise to train your mind to observe itself, metta trains your mind to observe other minds.
Also second Rosenberg's book. It can come across as condescending if applied too heavily but it's a great analysis on language during conflict.
Also second Rosenberg's book. It can come across as condescending if applied too heavily but it's a great analysis on language during conflict.