@Brian...First the city is going to ask you why you want to remove the pole, Saying " I don't like it " is not going to work, but health reasons you might have a good chance, but it will be expensive and you have to prove it. We had a tree that my wife was ellergic to because it was bad for our health it was gone.
First, nice house. Second, I also have never heard of a pole being permanently removed at the request of a homeowner; and quite frankly in these economic times you would likely be charged directly for doing so. Even if allowed, converting aerial utilities to undergrounding would not be cheap!
I suppose you can call/visit the City permit office to enquire about the likelihood of this taking place and â€œballparkâ€ estimate of cost.
To be honest, Iâ€™ve never heard of anyone being successful in getting a telephone pole removed. The pole in front of the house appears to be a primary service pole for electrical to the homes at the end of the court, itâ€™s the street lamp AND also looks like it is providing phone and cable service as well. My guess is that it will not be possible to move it.