Look at these cases combining direct object and reflexive pronouns:
There are two important patterns to notice in these sentences that are different to English.
1) the two pronouns both go before the verb:
Je me brosse les dents -> Je me les brosse.
I'm brushing my teeth -> I'm brushing them
2) The order is ALWAYS:
me/te/se/nous/vous/se (before) le/la/l'/les