Running the channels means running into the space between a centre-back and full-back. That gap is the "channel." Attackers who time runs into the channel are hard to track because neither defender wants to leave their position. A good channel run, combined with a good through ball, is one of football's most effective attacking combinations. Strikers who make these runs constantly stretch defences.
Jamie Vardy's runs into the channel were legendary during Leicester's journey to the title in 2016. He'd drift wide, spot the gap between centre-back and full-back, and sprint into it. The defenders were never sure who was supposed to follow him.
Passing out from the back through short balls instead of going long. Usually starts with the keeper, centre-backs split wide, a midfielder drops in, and the team circulates the ball until gaps open up. Everyone needs to be comfortable on the ball, including the keeper. Critics say it's risky when you're doing it in your own box. Fans of it say it creates better attacks and more control.
The Manchester City build-up play under Guardiola is meticulous - the keeper starts attacks with passes to split centre-backs, Rodri drops between them, and the team plays through pressure with short, sharp passes until gaps appear in the opposition's press.