Hi C.,
My son is 15 months. He refused to eat any baby food since about 8 months, rarely let any one else feed him till recently and he had no teeth till he was 13 months. It was a real challenge to find foods for him but one of my neighbors recommended Dr.Praeger's Kids Broccoli littles and he loves them. He also enjoys Spinach littles, sweet potato littles and plain potato littles. They are like little potato pancakes in kid friendly shapes. They mush up easily and are easy for them to self feed with. I live on the Upper West side and have found them at most stores in the area. They are in the health food section sometimes.
Earth's Best Cereal bars, Mini Bagels, frozen organic whole grain waffles, hot pretzels from the hot dog cart, roasted sweet potato cut into chips, miso soup, Dr.Praeger's fish sticks, edamame shelled and broken in half and fruit leather's (various brands fruitabu, stretch Island fruit co.) broken into very tiny pieces are other favorites.
We have always allowed our boys to try anything that we are eating (keeping in mind guidelines for allergy and choking hazards). My older son is 4 and he loves trying new foods. He eats some of the typical preschooler food but if given a choice between sushi or chicken fingers he will always choose the sushi. So let your little one guide you. You may be shocked at what he choose to eat.
Being that my younger son had no teeth most of his stools did and still do contain whole pieces of his food. I asked his doctor about it and he told me it is perfectly normal and not to worry about it because he was growing properly and was healthy. If it concerns you talk to your doctor.