It is better to put a antenna outside if there is a way to have a antenna face the transmitters. However you have no way to do that so keep the antenna inside.
Your location is about 3 miles from the transmitters. The Tv transmissions are Over The Top Strong.
A amplified indoor type antenna will overload from the strong Tv transmissions and be the cause of bad reception or no reception.
Use a TERK HDTVi non amplified antenna , Do Not use the HDTVa amplified antenna.
Aim the HDTVi antenna at about 0 degrees magnetic compass (north).
Here is how to aim indoor and outdoor antennas.
http://www.kyes.com/antenna/pointing/pointing.html.
http://www.solidsignal.com ,
http://www.amazon.com.
Also use a variable attenuator to - dial down - the signal strength of the over the top strong Tv transmissions.
Model number 1296f .