I have recently purchased a easyflow babies cup...

I have recently purchased a easyflow babies cup for my bub to play with and practice holding(she is only 4months). I was thinking about putting some cooled boiled water in it for her to have a go at drinking out of it. I wouldn't think that you would put this cup into the sterilizer, but yet i do with all her bottles. The whole transition confuses me on whether to sterilize or just put it through the dish washer. I would appreciate any advise.