I would only use wooden pieces at a place where I know the conditions are good and the people are respectful of the quality of pieces and board. Otherwise, use a standard plastic set and board that you can clean easily. If necessary, bring a small bottle of Purell to clean sticky pieces. At many tournaments I usually come back with more pieces and pawns than I came with. Occasionally, a piece or pawn less as the last round scooping of pieces at the end of the games can leave you with less than the 32 pieces you are supposed to have. One plastic set I have has 4 Black queens and 3 White queens plus an extra Black bishop and a couple of extra pawns of each color. If using a wooden set and one of those pieces goes missing it could take months or never to replace it.
As far as kids’ behavior, you are stuck for the most part. There has been an increase of kids at all tournaments. Their moms pay the entry fee which provides the prize pool. Most of the kids behave well and often tell their peers to behave better as they don’t like to play fidgety opponents either. You can ask the TD to say something to the kid. Most TDs, but not all, will talk to the player and even the chess mom about the behaviors. That usually works, but kids are kids and they often slip back into bad habits. You have to recognize that for many kids, chess is just a game like any other and not something to be serious about. As an adult you take the game, your result, and rating changes more seriously than the kids do.
For the sake of argument, let’s assume that you asked a TD and nothing happens. An appeal will not take place or be rejected. The TD doesn’t even know the number to call a Special Referee. So, on an official basis you are stuck. Even if you appeal to the USCF after the event with a richly detailed complaint and witness statements, this does not solve your immediate problem. What to do? First, you can ask the kid again to knock it off. If the kid does not comply, ask louder. Make a real scene which will bring the TD over because all of the other players will be upset with the noise. Since the TD already knows of the problem from your previous contact, ask him loudly to do something about it, to do his job. Make sure the chess mom or dad are brought into it to rectify the behavior. Keep it loud and annoying as possible for the other players who will shush you, tell you to keep it down, and will demonstrate complete disgust with you. Some will hate you for making a scene. Others will quietly admire your pluck and will be happy someone is finally trying to solve an all too familiar problem. If nothing works, demand your money back and never, and I mean never, go back to that site again. They probably won’t give you your money back, so you can get your money’s worth by extending the scene for as long as your blood pressure medication allows. You will develop a reputation with TDs of being a complainer, but so what? In the future players and TDs will learn you will not put up with the nonsense that has been allowed to happen in the quest for bigger profits. Next time, you may get your way and have a quieter, cleaner event to play in.
Both as a TD and a player, I have dealt with similar issues. Before the first round, as a TD I have told the players what behaviors will be unacceptable and what the consequences will be. I have also informed parents that their little darling was close to being ejected from the event for conduct unbecoming. It just will not do for kids to be running around, and maybe falling down and getting hurt. Food is not to be eaten at the table but in designated areas. Chess moms have to clean up, which usually leads to them telling the kids to clean up every crumb every round. As a TD you have to stay on top of these things and not just think all you have to do is make and post pairings. General public relations and management of the herd of cats in the room comes with the job, too. As a player, I have yelled at kids who were sliding down a long bannister. Of course it was fun for them, and very dangerous. I told their moms, too, who should have been watching. It is too hard to get a new site when kid behaviors cause the site manager to nix any more tournaments. That message usually gets through to the embarrassed moms, most of whom love me for looking out for their kids, and who really want their kids to play at a nice place. My own students know the behaviors I expect of them and let them inform the rest of the little angels through modeled behavior and their own yelling at their peers to behave.