>>2633391A few things to get you started.
make use of the small grid overlay when first correcting your shots in LR (press o whilst in crop mode to cycle overlays)
check if there's a lens correction profile for your lens, this should remove most of the barrel/pincushion distortion and vignetting, use the sliders to fine tune.
you may need to adjust the aspect of the shot, correcting can make things to thin/fat, find it in lens corrections > manual > aspect and adjust by eye.
One thing this all doesn't succesfully correct for is the appearance of windows getting smaller as they get further away, this is where photoshop comes in and you just have to stretch and compress vertical bands of the image to compensate, I can't seem to find a non-linear stretch transform function, although there probably is a way! but for now, shit tons of guide rulers and the transform tool.
Pic attached that I originally made to show colour correction with a colour polarised filter, but also has a fair whack of perspective correction.
