I need some suggestions..I will be doing a book reading at my local library and wanted to promote my book.?

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I have self published a children's reading book which means I have to do most of the promoting and advertising/leg work myself. I will be reading to an audience of 4 and 6 year old school children (my authored children's book) meaning they will be with out their parents. I plan to have fliers of my books sent home with the kids to promote and advertise it after the reading. Should I have the fliers sent before the reading to advertise for the book and also what other suggested ideas would I be able to use with them?

I need some suggestions..I will be doing a book reading at my local library and wanted to promote my book.?