We moved DS from a crib to a toddler bed when he was about 3. He was perfectly happy in the crib, so we weren't in a hurry!
I bought his bedding for the toddler bed from Lands End, along with a toddler pillow. Before we found the toddler pillow he slept with a throw pillow from Target. The nice thing about the todder pillow was Lands End had pillow cases for it. I don't know if they have them anymore - it was awhile ago!
The 2 little ones that I nanny have pillows that came with custom pillow cases. You might try a search for "toddler pillows" and see what you can find. I think the company is Bunnies and Bows or something similar. My youngest charge turned 2 in August, but he has had the pillow in his crib for quite awhile. His pillow, his blanket, and "stinky monkey" are his favorite bedtime items! (We made Monkey at Build A Bear a little over a year ago. He is falling apart and he has a particular odor that clings to him even when he has been washed. Pretty gross, but my small associate LOVES that monkey!)