As he pointed out in addressing the lack of big-name transfers that have come into Old Trafford since his appointment, Moyes has only been in the job for three weeks.
Yet he is starting to understand the magnitude of the role he has taken on as Sir Alex Ferguson's successor.
Moyes has repeatedly underlined his intention to seek Ferguson's advice when necessary.
But he is acutely aware he must step out of that vast shadow and stamp his own imprint on United if he is to make a success of the job.
"It has to be a new era," Moyes told several daily newspapers.
"Whatever we say, my job now is to make my history.
"I'm going to follow someone who has made incredible history. I think about Matt Busby's history and then Alex Ferguson's history - they could do a film about it.
"I have to make sure now that my history and my time is something which the fans and people in the future talk about."
Moyes accepts the task is not going to be easy.
However, handpicked by Ferguson for the role, the Scot has been delighted with the response of United's players to the change they have experienced.
"You can't see any manager thinking that would be an easy job. Of course not," Moyes said.
"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.
"Someone said, 'You'll do it easy'. I'm not saying who it was but I don't take that as a given, because I know it's going to be really hard at Manchester United.
"But in the same breath it is a great one (job) because of what I have available and what Sir Alex has left.
"Sometimes when there is a change - and I heard some of the players saying it - you have to impress the new manager. I have got to say I have been incredibly impressed about how the players have gone about their work.
"There's not been a day when I've had people 'throwing out' [slacking off]. If anything, they're enjoying it and they're asking for more."
Already though, Moyes has shown a willingness to let his squad know if he feels more is required.
An intense person by nature, the Scot insists he is not quite as bad as he once was.
But the lecture delivered to his players in Bangkok was a sign of his own standards.
"I'm going to drive," he said. "And I'm going to demand the best out of players. I'm going to demand that they give me more, or as much as I can get from them."
That process has already begun as the clock ticks down towards the opening Premier League game at Swansea on August 17.
Six days earlier there is a chance to win a trophy, in the Community Shield against Wigan at Wembley.
"(The first trophy) matters because it's important I get it put to bed," Moyes said.
"But if Manchester United went on to win the Community Shield that would be one of Sir Alex Ferguson's because he got the team there.
"I'm actually hoping to look at the other trophies, that's my target."