Derby prepare to welcome United to Pride Park in the fourth round of the cup on Friday night and the clash is undoubtedly a challenge for the Rams.
Ince, whose father Paul played for the Red Devils, is looking forward to the clash and believes that the visitors will be the team under pressure.
Ince told the Daily Express: "We're all looking forward to it. We haven't won since Boxing Day but all the pressure will be on United. Promotion is our priority so we can go out and enjoy ourselves. Hopefully we're catching them at a good time given all the talk about Louis Van Gaal.
"A goal and a win would be the perfect birthday present. Personally, though, I wouldn't mind a replay because I've never actually played at Old Trafford.
"There's a YouTube clip of me as a toddler kicking a ball around on the pitch with Kasper Schmeichel [son of Peter] and Alex Bruce [son of Steve] when our dads were all playing there. But to play there for real would be fantastic."