Chewie... We're Home
Han says this line after he and Chewie step onto the Falcon again after they'd lost it for years. Han says this because he has missed his prized ship and is happy to be back on it. This line is also reminiscent in the sense that, in saying it, Han looks back on all of the good memories he and Chewie had on the Falcon.
I've got a bad feeling about this
The famous line uttered by Han in nearly every Star Wars movie. It signals to the audience (foreshadowing) that something bad is about to happen/a situation is about to go awry.
May the Force be with you.
This is a quote commonly used in the Star Wars franchise to mean good luck. It is used by everyone, including the Rebels, the Jedi, the Sith, and common folk.
[To Rey] You need a teacher. I can show you the ways of the Force.
This line represents an extending of an olive branch by Kylo Ren to Rey. He wants to show Rey (who is strong with the Force), the ways of the Dark side. Rey denies him the opportunity, but this gives shows that Ren is willing to teach someone and is somewhat sympathetic to her. It also shows that Rey is strong-willed and intelligent.
[In Response to Finn] Is there a garbage chute... or trash compactor?
A callback to the first film in which Han, Leia, and Luke get stuck in a trash compactor, only to be saved by C3PO and R2D2. They want Captain Phasma to suffer the same fate they would have without droid intervention: being crushed in a compactor.