The Tigers previously enjoyed two seasons in the top flight and booked a return to the elite by finishing second in the Championship last term.
Bruce is aware of the challenge that lies ahead, particularly as the Tigers face Chelsea and Manchester City away in August, but he is determined to be competitive.
"We're all looking forward to it," Bruce told Sky Sports News. "I think when I looked at the fixtures, especially the first six away fixtures, I knew we were back in the big time as it couldn't have been any more difficult.
"We worked extremely hard last year and managed to get in the big league. We're all looking forward to it now and we hope to make a fist of it, enjoy ourselves, and try and survive. That's got to be the aim.
"We know how hard it is. The Premier League has been in place for 20-odd years and there have been eight teams in there from day one. 45 teams have competed in it, so we know how difficult it is for clubs like ours to survive.
"But I look at my former club Wigan and how they did it for years. Swansea now, and West Brom, are role models that show it's achievable.
"It's going to be difficult, we're under no illusions. We've got to make sure we're competitive and make a fist of it, and that's all we can do. We hope we can surprise a few people like we did last year in the Championship."