We want King Luis; burr eyeing liverpool tie.
Callum Gittings and Michael Gash struck twice as Kidderminster coasted into a 4-0 lead before Robbie Willmott pulled two back late on for the League Two side.
Now they stand a chance of drawing one of the Premier League giants in today's third-round draw.
Burr said: "I was pleased with some of the chances we created and finished off. It was great going in 3-0 up at half-time, but it was important we didn't drop the tempo.
"They started brightly after the interval. We settled down, though, and started to play the ball around again.
"Callum Gittings and Michael Gash got the goals, but as a team I thought we did really well. We worked hard and deserved the win.
Remember "It is a game I'll remember and hopefully we can go on and get someone decent in the next round. I want one of the big lads. I'd love to go to Liverpool or Arsenal."
Harriers finished above County in the Conference last season, but it was the Welsh side who earned promotion to the Football League through the play-offs.
However, it was Kidderminster's day in the Cup. Burr's boys took the lead after 19 minutes when Gash guided the ball into a corner of the net with the outside of his boot.
Gittings struck his first just before the half-hour mark when he fired in after Lenny Pidgeley had saved Joe Lolley's effort.
It was 3-0 on the stroke of half-time when a classic counter-attack was calmly finished off by Gittings and Gash grabbed his second with a low free-kick after 63 minutes.
Willmott scored twice with the clock ticking down when he reacted quickest inside the box to pull one back in the 79th minute before rising highest at the back post to direct a header into the far corner of the net after 83 minutes - but it was too little, too late for Newport.
Exiles manager Justin Edinburgh said: "I'm not going to stand here and criticise the players. We've not let ourselves down, but we're absolutely despondent with the result.
"We had enough chances to win the game. On another day we would take them and be out of sight."
TIGHT CORNER: Kiddy's Morgan-Smith (left) fires a cross in
GITT IN THERE Kidderminster's Callum Gittings celebrates after making it 2-0