It can be difficult at busy times to find a time then to add in things that help reduce stress. I know this. I have to just force myself to make time to do certain things, no matter how hard it is to work them in. For me (just as an example) I meditate, sometimes I walk (but when walking, I need to get energy out, so it's not a leisurely walk, it's more like speed walking), I find someone I can talk it through with, etc. You just have to find what it is that makes you feel less wound up.
Make sure you are keeping yourself in correct thinking. Try to avoid saying things like "they asked the wrong question at the wrong time", because that is part of letting yourself snap. It places the responsibility on them to know what is a right or wrong question and what timing is right or wrong, for you. They likely cannot know this.
Be open about your situation. You can preemptively tell those you live with that right now is a really stressful time, etc, and please don't interrupt me until 7pm, or whatever time. That helps everyone involved to minimize the friction if you know you need to be left alone.
Try to make time to be with the other people you live with when you can. You will get less interruption, etc if you make a little time to interact. They can ask you things or tell you things during that time, and interact. They might interrupt simply because they hope to see you. If you pick times to go seek them out, sometimes that means they feel important and they seek you out less. It doesn't usually need to be a lot of time, just that you made an effort to connect.
Give yourself grace and forgiveness. Even though you can know that how you reacted was wrong. You can apologize, own it, and move on. If you beat yourself up, you generally can't do better because you are keeping a negative thought process in your head and that isn't likely to reduce stress or improve reactions. Instead it adds to the stress and keeps you there. So once you have acknowledged that you need to do better, let it go.
Also, I have tried to train myself when stressed to take 3 deep breaths before I respond to anything. It gives me a little pause to calm my body down and regain my better control of my brain so my mouth is under my control more too.