period at boyfriends house

I'm going to my boyfriends house on the weekend and I'm going to be on my period and I just dunno how I will be able to change my tampon and where to put it. 
Should I just wrap it up and put it in a plastic bag in my bag?
 He doesn't have a bin in his bathroom and the only one is downstairs and it would be awkward to just put it in the bin. What should I do????