I tow my two kids in a trailer on various bikes and have not had any problems. The seats are cool if you are not traveling too far as my kids (1 1/2 and 3 1/2) tend to fall asleep while on longish trips. I don't know how comfortable a kid can sleep while hanging to side of a bike on a seat, but my kids have done it and the wife doesn't like it. I would go with a trailer if your kids are small. It also offers a bit of protection from the elements as opposed to riding in a seat.
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Ese dicho que me han dicho que tú has dicho que yo he dicho, ese dicho no lo he dicho, porque si lo hubiera dicho, ese dicho estaría bien dicho por haberlo dicho yo.