Sergio Aguero scored the first, with 20 minutes left, with City gradually grinding down the resistance of a Brighton team that could not quite avoid the errors that are so costly against teams as good as this.
For Brighton, it was a disappointing top-tier return after 34 years, ironically against the same opponents who they faced in their final game before relegation in 1983.
Playing three at the back may enable Guardiola to associate Aguero and Jesus in attack, after he generally used a single-striker system last season following Jesus's arrival in January.
"I was very happy with the new players".
"We were favourites last season and missed out by 15 points so being favourites this season means nothing".
"Whereas Chelsea now won't get any rest and that's why they need to thicken the squad up as you need those extra players in there".
"Here every game is a battle, but we controlled the game and it was always in our hands". But we'll do our best.
"We did that last season too, but in the boxes we were not good". You don't see one player on my team that doesn't run.
It worked but Albion have to be far more fluid and adventurous next week at Leicester or else Gordon Smith's record as Albion's last top flight goal scorer will drag on and on. He's already said that he'd like to play here one day.
"It's what we've got to be confident of doing".
The former Barcelona and Bayern Munich manager's arrival at the Etihad Stadium was greeted by plenty of fanfare last season but Guardiola's first season in England ended trophyless.
"Everybody expected him [Guardiola] to come and work his magic but I thought that he was the manager that had the biggest job and the biggest task in front of him".
There are question marks over Chelsea which may only be answered by the end of the transfer window.
"It's going to be a challenge for everybody but we'll take it in our stride, compete and we'll surprise a few people", March told The Times newspaper.