Sorry, should have included Spoiler for anyone who wanted to wait for the 4th trailer to be out first. Don't read if you don't want spoilers!
The trailer starts out with a shot of the city.
It then moves into a shot of security videos in the lair and (I assume) Donnie, saying something about increased Foot activity and that they are taking hostages. One them happens to be April....
Switches to a shot of the subway with the hostages, and April, surrounded by Foot. Enter blurred action shots of the turtles kicking their ass.
April then follows them up to the roof, as all turtles are congratulating themselves on a good job. She takes a flash photo with her camera. Freeze frame with the turtles as they ask “what was that?” “A camera”
April tries to flee, gets pulled back to the roof, where we see a shot of Raph standing in front of her demanding the camera. Leo jumps down from the tower telling him to back off.
There’s a scene where Mikey makes a comment about Raph’s gruff voice “He’s doing his Batman voice, that’s hilarious”.
Leo basically threatens April not to tell anyone. Mikey comments “We will find you… that sounded creepy hahaha… still, we’ll find you”
April faints.
There is then a whole bunch of scenes including William Fitchner talking to someone (didn’t catch who) that he was taking their armour to the next level.
We have the scene where Shredder extends his claws (only much longer, with only one knife on each side to start with and then all the rest).
Shots of the turtles running to fight and Vernon Fenwicks voice “Four turtles, one of them fighting a robot Samurai..”
We have action shots of Splinter, and more action shots of the turtles in the snow, including Leo jumping up and hitting the windshield of a car (enter in Mikey’s “Leo’s in Trouble!” and an extended rocket skateboard scene. Donatellos scene with the car and his staff is there too.
There is a scene with Fenwick, Bernadette Thompson (Whoopi) and April. This is the whole “So they’re aliens?” “No that’s stupid” Bernadette then comments “So is there anything else?” April “They’re ninjas”
That is about the sum my addled brain remembers