I'm a non-native myself so I suggest you simply go over to the largest town next to yours and find a lawyer (Skilsmässa advokat - kolla Eniro.se) to get some advice. I have seen, as you have noted earlier, that it's pretty easy here. Most important is that you document everything about child handling in your home. Who does what, when, where and why. Who pays for what. How often are you home and who usually takes care of the kids. In Sweden I've noticed that it's important as a man to be able to prove but they still are about 50-50 on sharing custody.
Be prepared for the shock of splitting costs. Have your economy ready for analysis - who pays for what.
Get advice. I'm not advocating divorce, but this might be one of those instances where you really need legal advice to make your choice.
Remember, you don't leave the home or the kids under any circumstances without knowing exactly how the law treats it. Usually it's best to have a Legal Separation Agreement of some form so that's why it's always best to speak with someone trained in the law first so you protect your rights.
I hope you find peace in your situation and that you and family prosper. Protect yourself because your WAW will take you for everything you've got if you don't.
