I'm late to the party on this one, and I didn't read all the responses (sorry if this kind of reflects what others said).
Sure, it might put him in a "better" position, but that doesn't mean it will happen. Regardless of what you have done and are continuing to do, and regardless of where he did live and lives now, at the age your kids are, they will likely play the biggest factor of all in who stays with who how much.
Ask for a GAL to be appointed. That will definitely suss out where the best interests lie for the kids. That way, you don't have to "defend" your position - rather, an unbiased person will write a report (which the judge only takes into consideration, it isn't binding, but most Judges take GAL reports very seriously) as to what they feel is the best for the kids after meeting with the kids, both of you and visiting both homes.
As an aside, I can't stress enough (really, I can't) that you should NOT be accepting, agreeing to, offering ANY kind of discounted support for your children. I know what you are thinking in this regard - I've been there, done that. In hindsight, it was one of the poorer choices that I made looking back over things. Your husband is responsible for paying what the state says he should be paying. You are responsible for seeking and accepting this amount. To accept less, lower, or some other discounted number in my opinion shouldn't be allowed. It often happens with women who have been kind of "beaten down" emotionally by their ex-spouse's who just feel happy to get what they get to keep the peace, so to speak.
You may not "need" the money, but your soon to be ex, NEEDS to be held completely responsible for his share of raising the kids. Period. Put the money in a trust if you like.
Just my two cents!