Sure, leave the pit attached. However I don't think you will have much luck keeping your avocado's at a foot or two in height. These plants want to become trees and exhibit a strong apical dominancestrong apical dominance. When you cut them back they put out one new leaderone new leader rather than several.
If you want to keep them as house plants do not immediately put them in a big pot. Gradually increase the pot size once or twice a year or when pot bound. This will ensure that the plant does more then grow roots.
