"Is there is any chance of the lead oxidizing and affecting my kids?"
No. In fact, they could swallow a few of your new bullets without harm, they would just have a heavy diaper later!
Any bullets or shotgun pellets in game meats are safe for us to eat too, if we are clumsy and unaware enough to do that!
Panicky liberal fears of almost everything are vastly over-blown. Including asbestos, lead, formaldahyde, radon gas, global warming, etc, etc., all true in some minor ways but greatly over blown. And then it gets over publicized by a media with a large stake in keeping people's bowels in an up-roar over something! (Film at six oclock!)
Most of those panic waves are produced by "scientists" who are trying to obtain money from the gov. to conduct more "studies." It's much more fun for them to play scientist in a nice, quite, clean air conditioned university lab wearing a white coat than it is to have to work and maybe get dirty doing something productive for a living!
Actually, making lead into something harmful requires that it first be made into a fine powder. Otherwise, a mammals digestive system simply can't absorb it. The only reason it's harmful to birds is that their digestion starts in a gravel filled "craw" where the small lead pellets are finely ground to powder before moving on.
Yeah, some few children used to eat stray chips of lead paint containing minute amounts of lead oxide and that was harmful. At least it was if the poor kids ate a pound or two a month for a couple of years. I mean, it takes a LOT of paint chips to put very much lead oxide in the diet. Just keep doing as you are wisely doing and all will be well for your kids.
And I say this as a seven year plant safety officer for a US gov. research site, I know what I'm talking about.
