There are many steps and phases to the process of saving and rebuilding a marriage. I do not have first hand experience, just second/third hand stories. Many from here. Others here can give you insights on what worked for them. Read as much as you can. Knowledge is powerful. Definitely get as much professional help as you can.
At this stage of the process, you should have a list of "non-negotiables". Since you just arrived, this might be one of the the things you work on. Most start like this: