Dress for Davening

I heard that when you're davening, you should wear clothing that you wouldn't mind wearing in public. If you are davening at home, would you have to make sure you are as presentable as if you were going out in public too (i.e-brushing your hair, etc.)? - Layla Blenden

The Aruch HaShulchan Orach Chaim 98:5 writes:

Prayer is in place of sacrifices. And it is appropriate for one to have nice clothing for prayer like the clothing of the Kohen, however not everyone is able to afford it. Whowever can afford it and is wealthy should definitely do so. Nonetheless, one should have special pants for Tefillah because of cleanliness, as well as clean shoes that are appropriate for davening, and prepare yourself for the God of Israel.

The idea that Aruch haShulchan expresses is that davening, no matter where it takes place, is an event that we should dress up for. After all, we are meeting God! Even though the Aruch haShulchan does not specifically address the issues of brushing hair, etc., it seems that he would also think that it is appropriate that all aspects of how we dress be geared toward meeting "the God of Israel."