I have been with my boyfriend for 3 years and I just moved to a new state away from my friends and family for him. We are in our early to mid 20s. I love him very much and I know that he loves me. I trust him completely, we have good conversations, have fun together, have a solid partnership, he has a good job, is intelligent, etc.

However he has anger issues. He gets set off by small things (like plans changing) and ends up disproportionately angry to the situation. His anger also lasts for long periods of time. He is not violent, and does not call me names or anything. He doesn't yell much, he just raises his voice or gets visibly angry and withdraws without being willing to even talk about it. When he is angry it makes everything really tense and difficult. He knows he has issues and apologizes after an episode but it doesn't change. However I haven't sat down and talked to him about how I feel about this yet.
My mom and sister came out to visit me in my new state and he got upset a few times but denied that he was upset even though the tension could be felt by everyone in the room. He raised his voice at me in front of my mom and when I called him out he said he was not angry. After this my mom, who always loved him has said that she does not want me to be with him anymore and wants me to come home. Her and my sister no longer like him and they pointed out a lot of flaws in him. However I know this is a decision I want to make on my own and I have struggled with his anger before.

I love him but these issues have put a barrier in our relationship and I am wondering what can be done about it. We have talked about a future together but I wonder if this is a deal breaker. Any insight or advice is appreciated.