Can you get custody of your 3 boys if their mother haven't work in 5 years and her new husband is currently unemployed and receiving unempliyment?

It depends on your state's custody laws. For example, California is a "mother state" where the only way a mother can be denied full custody of her children is if she is so grossly unfit that she is institutionalized. Other states may prefer the father, but generally very few states have a non-gender-biased ideal behind custody laws.