I would not recommend you doing both of these processes at the same time. Its two heavy chemical processes that is going to end up badly damaging if not breaking your hair. I would recommend you do the perm and then again get coloured extensions to put in your hair.
This way your hair will stay healthy. I would recommend going to your stylist for a perm and not doing it at home as you could damage your hair. To keep your curls nice through the day you can use L’Oreal Curl Mousse or the Moroccan Curl Smoothing Cream to help keep the curls together and avoid frizzing.