Talstar P is not labeled for general mites, though mange mites typically are on livestock or pets. For mange mites, we recommend Tengard SFR which could be used to treat the ground outside, as well as inside the home over a certain area. Tengard SFR can also be used on a dogs and other livestock (do not use on felines) to kill mites without harming the animal.
Talstar P CANNOT be applied to anything that you will come into prolonged skin contact with, so you cannot apply it to furniture. It should be applied to cracks and crevices and perimeter of the rooms only. For treating sensitive areas like your furniture, you should use Steri-Fab which is labeled for ticks and fleas as well as many other pests and can be applied to furniture, mattresses, pet beds, and all other sensitive areas. Below is a great article on treating indoors and the products that we would recommend for treatment inside the home for fleas and/or ticks.
http://www.domyownpestcontrol.com/fleas-and-ticks-t-10.html
http://www.domyownpestcontrol.com/outdoorindoor-flea-kit-p-1349.html
http://www.domyownpestcontrol.com/tick-control-kit-p-2924.html