I used a Swiffer dry cloth to get all the dust off the screen while just blowing with my mouth at a steep angle. I know I didn't get every speck, but the screen looks perfect once assembled and lit again. Removing the glass from the screen is pretty easy if you need to re-clean it.
This was too tight to get with my hands. I used needle nose pliers to grab the plastic connector and it popped right out. I need pliers to get it to snap back in too. The wire itself if very thin so be sure to only grab the connector.
I opened the case as far as I could without stretching this cable and used my fingers to get it. The end of the ribbon where it connects is stiff, so you can grab it there. There's not connector; the stiff part just slides in and out. Getting it back in is a pain, but if you get the perfect angle it slides back in without much force.