Hello and welcome to the Forum!
I have been waiting for someone with more knowledge to answer your questions. I have no area of expertise in T1 diabetes with toddlers. The only way that I know to make injections easier is to find the smallest needles. I really don't know if they make a children's size, but I am guessing not. You may get better information from someone dealing with the same issues, maybe a Diabetes support group. Good luck, I wish you and your child well.