You can use self-tanner with Tiege Hanley products, as long as you make sure that the self-tanning product is supposed to be used on your face (Word of caution: many self-tanners are not formulated for facial use).
If you have the correct products, you should use them after applying your Tiege Hanley system. Also, make sure that your Tiege Hanley products are well absorbed into the skin before using any self-tanning products.