Ill just throw in my two cents/play devils advocate on the stroller thing. I've been a solo dad since my son was 2 weeks old, and my daughter was 2 years old (they are 9 and 11 now). From personal experience, I can tell you that the person pushing the stroller is usually very self conscious about taking up room, etc but unless you want to always exclude yourself, sometimes the kids+stroller have to be there as well. Heck, I took mine to client meetings when my sitter fell through. Baby slings are life-savers but when they are little you also have to have the diaper bag, bottles, bottle of booze (ok, that one is for the parent but I digress), plus all of the things that go along with the baby.
As far as the stroller being knocked over most parents have ninja senses and are pretty good about avoiding that from happening and will do whatever they can to be conscious of the people around them. Just remember, that person pushing the stroller is getting less sleep than you, is under more stress, often covered in poop and vomit, and is generally the slave of a very small yet very demanding dictator. All they want is to experience the con and be a gamer for a while instead of just "the parent of the Grandparent's pride and joy".
I'm not saying all stroller weilding people are considerate, but many are. And if you see one trying to cross on of the exhibit hall intersections, you will make their day if you play crossing guard for them :)
Oh, for hauling the loot, I got a canvas messenger bag large enough to hold a 17inch laptop and it serves me very well.
And as for my kids, they stay with my parents during Gencon now days; this is Daddy's 4 day nerd out session and I think they are a little to scared to witness it :D