Okay, you disagree, but I don’t know how the points made above by quiet52 are bad points.
I think it would be wonderful for every Catholic to go to Confession monthy. If the OP does that and takes his children, it is a wonderful grace for all of them. I do not see how pointing out that the Sacrament of Reconciliation is available year round, not just during Advent and Lent, and suggesting that one go monthly is uncharitable. It is a good point.
The OP did state that he thought it would be good if families with children could go to confession in front of others. I think that while that might not quite be having a sense of entitlement, I do not see why the OP feels we should change the “first come, first served” basis that has existed for as long as I can remember (except on an as-needed basis with elderly, handicapped and/or ill parishioners). I have two children old enough to go to Confession myself and I wouldn’t dream of doing anything but have them wait their turn with me (in the summertime when they do not go to Confession at school, for example), so I think this is a good point.
Too, I think it is a good thing to realize that we are all in need of spiritual healing and God’s grace and forgiveness. We should seek it and do what is necessary to find it during the Sacrament of Reconciliation. Waiting in line for a while and conveying that it is inconvenient to do so to one’s children may not help them realize that they are in need of this sacrament on a regular basis. Quiet52 did not say that the OP did this, but he did make a valid point in simply stating that we should teach our children the value of this sacrament without worrying about the “convenience” of seeking it out.
If you feel I was impatient, uncharitable and judgemental in simply saying that quiet52 made valid points, I do not understand. The Sacrament of Reconciliation is SO wonderful, I would like all to take part in it fully and well and frequently. I do apologize if I offended anyone with the statement that quiet52 made valid points.