First I ask that you don't plant mimosa. Then, assuming we recognize non-native mimosa can be a nightmare, when you decide to get rid of it -- and most will after some time -- the sooner, the better. Please understand it has an outrageous tap root and in general is very hard to kill. Pulling them out of your yard when they are still small is the best. Herbiciding can be very frustrating because it's a legume and, thus, resistant to chemicals normally used by homeowners (or agriculture industry). Consulting your Extension Service or natural areas managers might be/is advised if dealing with mimosa saplings or adults and/or infestations anywhere near conservation or undeveloped areas.
From childhood I was taught that mimosa is a weed tree, no more desirable than Heavenly Tree of China, never to be purchased or planted. Experience has since taught me that these trees are in fact messy, prone to hosts of problems, and too short lived to be worth any effort. Still, even though I will never plant one, I find myself coveting the chocolate variety. Ahh, we gardeners are curiously conflicted folk.