should I look for used bike?

I want to get my little girl a bike for Christmas. I really do NOT want to get her one with a licensed character on it (Dora,Barbie,etc). Just a simple bike that she can make her own (choose her own stickers,put a basket on, maybe a doll seat). I can't find one anywhere! I was thinking of getting a used bike and rehabbing it (painting, oiling the chain, cleaning up and putting a basket on front). Is that wrong?
 
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