Spread describes general formations where receivers and/or running backs are spread out across the line of scrimmage covering much of the entire width of the field. Any spread formation forces the defense to cover more of the field than a double TE full house backfield where everyone is within the "box."
Two types of spread offenses are Air Raid, and Run and Shoot.
Air Raid is a pass heavy offense where four and five receivers are used at times. Rarely is the running game used and the offense attacks all parts of the field.
Run and Shoot is a style that looks to pass the ball as quick as possible. It used to use a lot of motion but now uses trips quite a lot. Run and Shoot uses short/quick conservative passes to move the ball down the field. The short passing game replaces the run game, essentially.
No-Huddle is just a way of implementing play calling for an offense. Instead of huddling up, the offense looks to the sideline and gets a signal. This allows for the offense to quickly get into formation and run the next play. This fatigues the defense, creates confusion for the defense, and makes it hard for the defense to make personnel adjustments/substitutions.