A Tony Quinn penalty and strikes from Tony McParland and Aidan Connolly clinched the Irn-Bru Third Division points, and Speirs was delighted.
He said: "It was very disappointing to lose two late goals but we're delighted with the win.
"We've always been a team that likes to pass the ball so this pitch suits us perfectly.
"It's a fantastic facility and it makes a difference knowing that you're able to play on a true surface like that instead of a pitch that cuts up at this time of year."
Elsewhere, Clyde fell 2-1 to Elgin, despite their title-chasing opponents going down to 10 men as captain David Niven was dismissed.
Bully Wee boss Jim Duffy said: "We made it difficult for ourselves as we played as if Elgin had 11 men.
"Our game intelligence disappointed me."