What should someone do on Chol Hamoed Pesach if they find chametz in their house or see chametz lying in the middle of a street or sidewalk where it can be crushed, and thus be disrespectful to the food.
The Shulchan Aruch says in Siman 446 that if a person finds chametz in their house on Chol Hamoed they should immediately get rid of it. The Mishnah Berurah in Siman 445 says that the best way to get rid of it is to burn it, but since we already recited the bracha of Be'ur Chametz before Pesach, we should not recite it again and just burn it without a bracha.
HaRav Frank points out that there is an issue that since we already sold our chametz to a non-Jew before Pesach, all chametz in our possession belongs to them, and we cannot burn something that isn't ours. Therefore, he says that we should place the chametz with the rest of the chametz that was sold to the non-Jew.
However, many poskim argue that we must burn the chametz since the non-Jew doesn't care about it. They only paid a token sum for the chametz. All the poskim agree that if something became chametz on Pesach itself, that was not included in the sale, and should be burned.
However, what happens if we find a piece of chametz on Yom Tov and not Chol Hamoed? Then, one should cover the chametz from view because we don't want you seeing it and perhaps eat it. Once covered, you should wait until nightfall after Yom Tov, and burn it.
You can also ask a non-Jew to dispose of the chametz for you by flushing it down the toilet. The Mishnah Berurah says that the custom is to covering it and wait until nightfall for Chol Moed. This is because we don't necessarily trust the non-Jew to dispose of it properly and the non-Jew might decide to eat it rather than destroying it.
The Magen Avram says in Baba Metzia 23 that when you see chametz on the floor, you can't leave it there. You must pick it up because you are not allowed to leave food lying on the floor because it's a disrespectful way to treat food.
The Magen Avram says that if you see chametz lying in the middle of a street or sidewalk where it might be crushed, you are not allowed to pick it up because by picking it up, you are acquiring the chametz on Pesach. However, you can use your foot to move it to the side of the road or sidewalk. This way, you can deal with the situation without acquiring the chametz. Another option is to hold the chametz lower than 3 tefachim (about 10 inches) from the ground when you carry it, but many poskim argue with this approach. They say that you can only carry the chametz in order to burn it.
Therefore, you should not touch the chametz, even with your feet, even if that chametz is lying in the middle of a street or sidewalk where it can be crushed because you don't have the obligation to stop the disrespect of the chametz because on Pesach chametz is like dust to you.