The 50-year-old is two months into succeeding Sir Alex Ferguson and is focused on stepping out of his fellow Scot's shadow to write his own chapter in Old Trafford history
The 71-year-old stepped down as manager in May after winning 13 Premier League titles during 27 years in charge at Old Trafford.
Ferguson personally chose Moyes to become his successor at United and urged fans to give him their backing, but the former Everton boss wants to step out of his predecessor's shadow and write his own chapter in the club's history.
"It’s my team now," said the 50-year-old. "I’ve taken over and I’m in charge. It has to be a new era. Whatever we say, my job now is to make my history.
"From day one it’s my team and I have to get on and show that. I’ll use the ex-manager as much as I can because of his knowledge.
"I have to make sure now that my history and my time is something which the fans and people in the future talk about."
Despite his belief he can sustain Ferguson’s legacy of success, Moyes did admit to feeling nervous at succeeding one of the greatest managers of all time.
"I feel comfortable in my position and I feel as if I can be in the job [for a long time]," he added. "I’m not saying it’s all going to go right, because I don’t think there’s any manager who always gets it right.
"Anybody would have doubts if they took over this job, but I’ve got to say I feel it’s the right job for me at the right time and hopefully I’ll make it work.
"But there has to be an element of fear that comes with managing a club like Manchester United. It keeps you working, it keeps you focused and helps you try not to take your eye off the ball."
United begins its Premier League title defense with a trip to Swansea City on August 17, before facing Chelsea, Liverpool, Crystal Palace and Manchester City.