The Everton boss was driven into United's Carrington training ground by kit man Albert Morgan on Monday morning as he began the process of familiarising himself with his new surroundings.
Sir Alex Ferguson was in the car as well, and drove Moyes away again after he had met those present in the aftermath of the staggering 5-5 draw with West Brom on Sunday.
Moyes was apparently in cheery mood, and clearly relishing the task in front of him, knowing it was always unrealistic to think he could stick to his official July 1 start day.
However, he has pre-season to sort out, in addition to his backroom team, although it is not anticipated Moyes is going to make any major changes. It is a tricky situation for the Scot, though.
On one hand it would be natural for Moyes to insist on making his own mark, and having people he knows well around him, like his current head coach, former Leeds midfielder Jimmy Lumsden, who has been linked with a switch to United.
However the 50-year-old might be equally loath to unsettle a system that has proved to be so successful for so long and has just delivered another Premier League title by an impressive 11 points.
It is a conundrum Moyes needs to solve correctly because work done in the early days will shape his future at Old Trafford. At least the players are behind him, with Carrick outlining how much they are looking forward to the transition.
"As players we are embracing the challenge," he said. "For so long we have had the stability of knowing what to expect. We could turn up for pre-season and know how we would be preparing.
"There are going to be certain things that are new. But many will stay the same of course because there is a structure there and there is not a lot wrong. We are all looking forward to it. We are looking forward to the new manager coming in, working with him, improving as a squad and taking the club forward."