Should I address myself as I/my or you/your to remind myself of non-self?
Try rather to catch urself in the process of thinking about yourself, that is thinking.

If one grouped all thoughts and ideas into one cathegory and called it all "thinking" one could see that the idea of self etc it is merely an idea, a concept that exists in the thinking faculty, just like forms and colors exist when there is seeing, so does ideas of self when there is thinking. 

The Buddha was perfect in conduct, that implies verbal conduct too. He talk very well and used personal pronounce perfectly too, he would not have talked in english but for translations they put enlighs I, Me and etc. So avoiding words is probably not something useful to adapt and was never recommended by the Buddha afaik. if anything i heard a good disciple is skilled in words and their use, so probably studying linguistics and general semantics is a better practice.