halacha - Davening in boots

Is it Halachically appropriate to Daven in boots when in a Beis Kenesses?

A great answer should (in addition to being well-sourced) discuss details such as:

• Is there a problem in terms of clothing which one should wear during Davening?


• Is there a problem of Kavod for the place in which one is Davening?


• Would it depend on the season and/or place?


• If technically allowed, would it be considered a Midas Chassidus of sorts to change into shoes?

(I know that this is related to Is there a halachik problem with wearing shorts while davening?, but there are many differences between them.
My hands are cold in synagogue. May I put them in my pockets? May I wear gloves? likely has some content that would help answer this question, but still different, such as the fact that boots track dirt and leave puddles, and that question was asked because of the cold, this question is in general.)

Answer

This article says:

One should not stand in prayer wearing a raincoat, boots and gloves, because that is not the way to stand in front of important people (Mishnah Berurah 91:12). Yet, when it is very cold, it is permissible to pray in a raincoat and gloves, because this does not offend the respect due to prayer. Additionally, in a place where everyone regularly wears boots, one may wear them while praying.

One should not enter a shul when he has mud or dirt on his shoes or clothing. (See O.C. 151:8). So, at the least, it seems that if you have entered muddy or snowy terrain, you should at least remove the dirt or snow before entering the shul area and davening. (The shul is supposed to be treated BETTER than your own home in terms of cleanliness. If you wouldn't want this stuff in your own home, it's a given, that you don't want it in shul.)