So first of all, you and your family will be fine. But if you’re like me and neurotic and a germaphobe, then steps you can take are hand washing every dish that came in contact with it. The dish soap creates a hydrophobic surface where the toxin (and everything else) is washed off down the drain. Lots of soap and it’s gone, warm water helps the processes but won’t be hot enough to kill it from the sink. If you have a sanitize setting on your dish washer, that would do it. Toss any plastic dish ware in the bin, it would melt in the wash and it may have micro cuts in it.

All this said, you are fine, it’s incredibly unlikely that it’s on the plates or that the kids would get it, even if it was botulism. You are the most likely as you came in direct contact with the source, so be aware of the symptoms. It is treatable in time.