The Toffees recorded their second win of the festive season - and extended their unbeaten Barclays Premier League run to seven games - with a 2-1 Boxing Day victory over Wigan at Goodison Park.
It kept them joint fourth in the table, just two points behind third-placed Chelsea, their opponents on Sunday.
Moyes said: "Over the Christmas period you are just trying to win the games and come out of the other end of it in no worse a position.
"We have six points from the two games and we might have settled for that at the start but we have now got another couple of games - Chelsea at home and then Newcastle away - and then you are probably talking about the Christmas period being over.
"We will try to take some points from them and keep moving up."