Frank Lampard saw a sixth-minute penalty saved by Allan McGregor and goal-line technology came into play when the Scotland goalkeeper saved a Branislav Ivanovic header in first-half stoppage-time, correctly ruling no goal had been scored.
Chelsea were already two goals up at that point, through Oscar and Lampard's stunning 30-yard free-kick, with the three points all but secure.
Hull put up more resistance in the second period to give reason for optimism, but at times it seemed like they were in a different league to their hosts.
"They were incredible the first 20, 25 minutes," Bruce said. "With the (Jose Mourinho) Special One coming back it was always going to be difficult for us.
"We've got many games to play where we won't be playing Chelsea every week, thankfully."
Bruce has enjoyed a close friendship with Mourinho since signing Mikael Forssell on loan for Birmingham and joked he asked for Lampard in exchange for the Humber Bridge.
New signings Tom Huddlestone and Jake Livermore made their debuts off the bench after joining Hull last week.
Bruce added: "You have to be kind to the players who got you here.
"And believe it or not we've been trying to work on a system to play against Chelsea for two, three weeks."