I guess it depends. Like if she can't get a babysitter. I mean she should tell the person she is going on the date with first as ask if it is okay or if they would rather reschedule. At the end of the day anyone who is dating a single parent is dating the kids as well
It depends. It's good for her to be up front about her children and how they impact her lifestyle, but bringing them along on a date seems extreme. I guess if they come along for some dates but stay behind for others, that makes sense. You want to get to know the kid. But you also want some time alone with the woman you're interested in, right?