The Scotsman leaves Goodison Park after 11 years to step into Sir Alex Ferguson's enormous shoes at Old Trafford and after his final game in charge - a 2-1 loss to Chelsea at Stamford Bridge - reflected on his days in charge of the Toffees.
"I'll probably be doing two jobs for the next week or so," said Moyes.
"I hope every one of them will think it was worthwhile joining Everton.
"I hope I'm leaving the club in a better condition than when I took over and I think the group of players they've got are a top group of players."
Moyes, who often had the Merseyside club finish in the top ten on a limited budget, added: "In truth we've probably done as well as we can do at Everton.
"We've pushed close to try to break into the top four, up until about three weeks ago, it just started to get away from us.
"I'll go into Finch Farm [Everton's training ground] some of the days next week and make sure everything's in place for whoever the incoming manager is.
"Most of it is anyway, but I'll just make sure that everything's as ready as I can leave it."