Are you looking to relay signal between your place and an already installed BTS by a cellular company? That is quite possible. It can't be called a Base Station though. I don't know if you can have a BTS, that probably requires a permission from a cellular company because a tower is connected to another tower though wire (or wireless, but not the same wireless band as for cell phones). I am not very knowledgeable in the regulation but I am knowledgeable in wireless signals and all kinds of signal amplification and tuning wizardry. Bladerf is an excellent piece of tech for this purpose.
If you have plenty of time and patience, do consider me for this project, but please don't if you are in a hurry and wan't someone to just do it because I'm not that person - It'll take me a while and I don't want to waste your time.