Requesting help to relocate AT&T telecomm box in the middle of my yard.

if theres an easement it wont likely be moved, if they do move it you will be required to pay for relocation, last job i wrote to move a box about 15 feet was a hair over 10K billed to the homeowner

Sounds like a no-win situation. Good to know and thank you for the reply. 

Is there any explanation why a job like that would be so extraordinarily expensive? Is it simply because they don't WANT to move it, so the high price tag discourages anyone from ever doing so? I can't imagine that it's a very labor-intensive job...

It is quite labor intense splices have to be made to extend the cable to the new location, which includes putting weather resistant encapsulant or a water tight case in two locations and  a new loop for the terminal.  If there is no service out of it they might splice it and weather proof it, but usually if there's a terminal it means they want access to it. 

Fair enough, but $10K still seems pretty steep. This isn't underwater welding, after all.

On top of that there is a new easement required. Permits. Then hire a dig crew to dig and re bury. Then the material 

Well it was in California but it may be cheaper where you are but the permit alone was 3500 

The costs *are* steep, and it helps to explain what a good chunk of your payments go towards. The infrastructure is expensive to maintain and making changes to it aren't cheap.

The last tech left a J-mount that changed into 2" outdoor diamter for an example.  What if I weld all or part of that onto the pinnacle of the 2" pole?  I am no longer an expert on this, simply looking to make all of it work.  Read more about it.

J mount for what?  2" pole sounds more like for a satellite dish than something for phone service.   What's this have to do with relocating a phone company terminal?