The Scot's final match at Goodison Park after 11 years in charge ended in a 2-0 win over West Ham but he admits much has changed since he walked out onto the famous turf prior to a 2-1 win over Fulham in March 2002.
Chairman Bill Kenwright could probably not have envisaged what an inspired choice it would be bringing in Moyes from Preston, then a Championship club.
However, as Moyes prepares for a new chapter in charge of Manchester United next season he thinks Kenwright has a tougher task now finding a replacement.
"I hope people will think the chairman made a good decision then and I am sure he will make a good decision now," he said.
"The chairman took a gamble at that time, giving a young British manager an opportunity to work so he needs a lot of credit for that.
"I think the difference now is when I took over it was maybe a bit easier to bring in someone a little bit less experienced.
"Maybe now where Everton are that might not be quite the case but if he wants me help I'll help him with whatever he wants.
"I'll do everything I can to help him in what he chooses to do next."
Wigan's FA Cup-winning manager Roberto Martinez and Celtic's Neil Lennon are the favourites in the running but Cardiff's Malky Mackay, having taken Cardiff into the Premier League, is being linked.
Moyes believes the new man, whoever Kenwright chooses, will have a better starting point than when he took over from Walter Smith.
"Whoever comes in will enjoy it because they are a great bunch of players," he added.
"I will walk away from here saying Everton have become better.
"They will never be as good as they were in the 80s when they won things but I think if you look since the Premier League started how many top-10 finishes we have had it has improved."
Forward Kevin Mirallas scored goals in the sixth and 60th minutes to ease Everton to a comfortable victory over the Hammers in what turned out to be a celebration of Moyes' reign.
"More important for me was how well Everton played," added the Toffees boss.
"I thought they played like a top team - I don't mean a team in fifth or six, I mean a top team.
"I think we would have been a match for any side: the players were terrific in showing a level of professionalism just to make sure they couldn't get caught up in anything was a credit."
West Ham boss Sam Allardyce felt his players buckled under the significance of the occasion for the home side.
"The way we played today we were lucky to get away with 2-0," he said.
"There was only one player who has been outstanding for us and that was (goalkeeper) Jussi Jaaskelainen who made some outstanding saves.
"I warned the players before the game what it was going to be like - it was exactly that and the players couldn't cope."