I am so sorry that you find yourself in this situation, however you have come to the right place.
Since he has moved out, I would give him his space and start working on yourself. Detach from him. Do not call or text him unless it is about your daughter. Then when you do talk to him, keep about your daughter only and you end the conversation first. When he comes around to visit your daughter, be polite and keep smiling. Do not pursue him because you will only push him further away. He has issues that he needs to work on and he can't do that if you are constantly pursing him. You need to do things for yourself such as talking to a counselor, getting your nails done, or even working out at the gym. Focus on yourself and your daughter. At first, you might think to yourself that your husband has not notice the changes but trust me he has and he will start questioning himself.
This is hard but you will get through this become a much stronger woman. There are lots of people here with great advice.
I have been there and done that. My husband had one emotional affair with a co-worker and one physical affair with another co-worker and both times he walked out on me. We separated for six months and he noticed the changes that I made and it scared him that I was moving on and without him. We have been back together for a year and half and we are doing better. We do have our ups and downs but now he is willing to work on them.
