Hull are first up on Boxing Day and Steve Bruce's team are likely to provide a stern test for United having conceded only three goals in eight matches at the KC Stadium this season, the third best home defensive record in Europe.
Moyes said: "Steve Bruce has done a really good job with Hull.
"He has brought them back, they looked as though they were dipping and going in the wrong direction and I think he has done a great job in getting good momentum at Hull going again.
"They have got some good players and they will be a hard team to beat. They have had a decent first half to the season.
"You have either got to score plenty of goals or not concede goals - so it's one or the other.
"I'm sure for Steve then if they have got a real good base, and they are hard to beat, then that is something you can build on and hope then you can get yourself the odd goal here and there which wins you the games. It will be a tough game."
United have won four, drawn two and lost two of their matches away from home in the Premier League this term and Moyes is keen for them to improve that record at Hull and against Norwich at Carrow Road on Saturday.
He added: "Away games are always much harder than the home games and we have to make sure that we go there and do the job right.
"We have done quite well away from home this season so far so we'll try and keep it going. We'll try and keep the good away form going and hopefully pick up some points."
Watch Hull City take on Manchester United live on Sky Sports 1HD from 12.30pm on Boxing Day, or for just £4.99 with a NOW TV day pass.