Brother why are you worried about labour?
There are truck stops in multiple places, i saw once in model area near faisal town. Then there are truck stops at thokar, babu sabu etc. Sorry i am new in Lahore so don't know many places. Point is that once you find a truck for transferring your goods, you ask the driver that i need with 2 labour. They usually have a guy or two with them to help with loading and unloading. you just pay a few extra bucks. My friend shifted to a second floor flat, they don't care what floor you're at.