The Tannadice side are looking to keep their own impressive form going against Neil Lennon's 100% side and Houston reckons they are capable of emerging with three points. The Old Firm have found it difficult in Dundee in recent seasons and with Craig Conway back following a knee injury, United's chances have been boosted significantly.
Houston said: "To beat any half of the Old Firm you obviously needs guts and determination. That's something we've shown a lot of recently."
He added: "It's always nice when you're able to top it all off with some flowing football and good goals. It's not always possible but that's certainly what we'll be trying to do.
"It will be great if we're able to put on a show for the fans as well as get the three points - that's the ideal scenario.
"Playing Celtic it's not always going to be the case but we're capable of coping with the ugly stuff as well if it comes to that."
Having Conway back boosts United's options and Houston believes the former Ayr United man can get him back to the form which won him a Scotland cap last season.
With his former boss Craig Levein in charge of the national side the incentive is there and Houston has challenged the winger to play his way into a Dark Blue jersey.
He said: "I think we've missed Craig Conway because he offers so much to the team. He gives us natural width, pace and skill which is what any team wants.
"He's been training fine this week with no ill-reactions and is the kind of player who thrives on the big occasion. I think towards the end of last season he was our best player. And if he can get back to that kind of form then I reckon he would have to be in with a shout of a Scotland call-up.