Apathy

I've got a 135" screen in the basement. Make sure you have an area that you can restrict the light if you go projector. Epson has their Ultra Black versions that have amazing contrast. Sony uses the same tech as Epson, but stamps it with Sony and marks it up 100%. If you have the area for it, go projector. 

I did a lot of digging into getting a projector a couple years ago.  Everything I kept reading made me think I should step up to the next level of projector (more $ than I was comfortable spending).  Ultimately decided to stick with a 4K TV mainly because of the cost difference and the thought of running all the extra cables in our finished basement (i.e. power for projector, input, sound).