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Before we started to potty train Lucy, my sister-in-law gave me a little toilet seat. I asked her if she also used a little toilet when she potty trained her kids. She said she never did because she wanted her children to be comfortable using a larger toilet so if they were ever out somewhere the child would use the regular size toilet. I took her advice and didn't worry about getting a little toilet.
I am glad I listened. Not only does Lucy comfortably use other toilets, but it was so much easier to just flush her "business" once she was done and not have to clean out a little toilet every time-yuck! The seat also takes up much less space in our bathroom. So my two cents says to bag the little toilet and just get the toilet seat.