bath in the sink?

S
My mom and I were talking about what else we needed to get for the baby.  She asked if I was going to get a baby bathtub.  I said maybe but honestly I was planning on bathing her in the sink with a little tub thing that fits in the sink.  That's what my cousin did with her two kids and she's super type A.  I thought that's what people do because it's easier and higher up and easier to hold a new born. And maybe occasionally I'll try bathing her in the bathtub with me.  My mom said the sink is a silly idea it's to dirty and for food.  Obviously if clean it first. This is my first baby.  Is the sink really a bad idea??