The Reds arrived in Australia on Sunday lunchtime and will be joined by Robin van Persie and David De Gea for the second leg of Tour 2013 presented by Aon.
The players will be spending much of the next seven days continuing to work on their fitness, before a friendly against an A-League All-Stars side on Saturday.
But Moyes is also hoping to enjoy some downtime on his second trip to Sydney; he also visited with his previous club Everton.
"I'm very pleased to be back," Moyes told a press conference at the city’s Museum of Contemporary Art. "I came here about three years ago.
"You always enjoy the first time but I think you need to come back a second time to really see the sights. So I'm looking forward to having a look a round but I'm also looking forward to the game – it should be a big crowd and a good night.
"Coming here is a big part of our preparations. We're looking forward to a good week's training and we'll use the fine facilities here to get prepared.
"Robin will join us, which will help a lot. Wayne [Rooney] has gone back and it looks like a two-to-three-week injury – nothing too severe."
United kicked off the tour with a 1-0 defeat to a Singha All Star XI in Bangkok on Saturday and Moyes is looking to improve as pre-season goes on.
"Wherever you go, the games are tough," the Reds boss added. "We found that last night in Thailand.