In addition to securing a fourth consecutive season of Premier League football, the Potters reached their maiden FA Cup final in 2011, which in turn led to a first European campaign in almost four decades.
A mouthwatering last-32 tie against Valencia awaits when the Europa League resumes in February but first Stoke must seek to consolidate their top-half place in the league.
And while Monday's opponents Blackburn are currently entrenched in the relegation zone, Steve Kean's men will begin the new year on a high following their stunning 3-2 victory over Manchester United at Old Trafford on Saturday.
Ahead of Stoke's journey to Lancashire, Kemp said: "It was always going to be a tough game, as they all are, and it will obviously boost their confidence.
"They have had a good holiday period, getting a point at Liverpool and winning at Old Trafford, but it's up to us to go there and deal with it.
"We'll rest ourselves up, get ourselves ready and make sure we're ready to go."
One man who will hope to gain a start against Blackburn is forward Cameron Jerome, who made a significant impact after coming off the bench against Wigan.
Jerome won the penalty that led to Stoke's equaliser - and the sending off of Gary Caldwell - and then grabbed his first goal for the club, only for Wigan to then level themselves through Ben Watson's 87th-minute spot-kick.
"He made the impact we wanted, he caused some problems and obviously the goal was a bonus," said Kemp.
"Unfortunately he had a similar opportunity (in the closing minutes) and had a heavy touch that took it away from him, or he may have scored another one."
Kemp was unhappy with the penalty decision that enabled Wigan to grab a point on Saturday, but Latics boss Roberto Martinez believed referee Michael Oliver performed admirably in trying circumstances.
In addition to praising the official for getting "the two big calls right" in awarding both sides a spot-kick, Martinez labelled the Britannia Stadium the most challenging venue in the Premier League for referees.
If you want to be a referee, don't come to the Britannia Stadium," said the Spaniard with a smile.
"It's the hardest place for a referee to do their job, but I felt he (Oliver) was consistent with his decisions."
Wigan, like Blackburn, remain in the bottom three and Martinez is hoping his squad can follow the example of Watson as they look to extricate themselves from the relegation zone.
The midfielder converted from 12 yards with his first touch after being summoned from the bench, despite having missed his last two penalties.
"We always feel that the subs are very important," said Martinez.
"I felt that Steve Gohouri came on as a centre-half in probably the hardest place in the Premier League for a centre-half to come on.
"He showed great concentration levels and was outstanding from minute one."