wanting a divorce wife cheated and I have questions for what has has happened

I am a ga resident. I just returned home with my 3 boys from vacation and find my wife has been cheating on me the entire trip. I have all the text where she has admitted to having sex and sending pictures to this guy, I have a print out of dates and times she text him in 2 weeks. 458 total, I have text from her saying she took her clothes and was Leaving the house where now I am in charge of the 3 children with have. I have text that she lied to me and where she's going to live and her seeking out jobs etc. I feel like I have more than enough that she's done in this crazy situation. I cannot trust her especially with all the lies. I want to take care of my kids and they need to stay in my home. I am the sole provider, we've only been married 4 yrs. What else do I need to do I also don't want her back in my home and I want her to see the kids but I want full custody of them and a divorce for her infidelity. Please advise me of anything I May be missing or run into.