The Reds travel there following an opening-day win at Swansea and Monday's 0-0 draw with Chelsea.
It will be Moyes' first time at Anfield as United boss but he knows the ground well, having led Everton into Merseyside derbies at the stadium since 2002.
"Anfield has always been a difficult place to go," Moyes said. "It's a great stadium and I'm looking forward to going back there.
"[In some ways it's] no different to any other game as you can only get three points for a win but it'd be a big win if we can do that. Liverpool are one of the strong teams this season so if we can do that it can be a good start.
"I don't know [if it will be different going there with United] as I've not been involved in it yet. Everyone tells me it's a big rivalry, Liverpool and United, and it was like that with Everton as well. I'm looking forward to the game and part of coming to Manchester United is to be involved in these type of games."
Liverpool have started the season strongly (they're one of only two teams to boast a 100 per cent record) and have signed a number of players this summer, including Iago Aspas, Simon Mignolet, Kolo Toure and Aly Cissokho.
"I think [Liverpool manager] Brendan Rodgers is building his team and changing things around to the way he wants it to be. Liverpool have always been a great football club, challenging for trophies."