While the Ton eased past bottom of the table Airdrie United, their main championship challengers were left frustrated as the Jags' trip to Raith was postponed due to a waterlogged pitch at Stark's Park.
Thistle have outstanding games at home to Hamilton Accies and away to Cowdenbeath and Rovers as their fixtures pile-up, and Moore knows Saturday's Diamonds demolition was crucial.
He said: "It is a great three points.
"We said before the game that with the Thistle game being called-off it was a big factor psychologically if we got three points and went eight ahead.
"They have got three games in hand, but those games in hand are coming think and fast and if you have got injuries or suspensions and your players aren't in top form it is hard to win three games in a week in this league.
"Hopefully it is a good advantage that we have got now."
With a nine-point lead over third -placed Dunfermline, who have one game in hand, Morton are ideally placed for the end of season title run-in.
David O'Brien, Colin McMenamin, Peter MacDonald and Kyle Wilkie all found the target for the Ton as United saw Marc Warren and Rickie Lamie sent off in the closing stages, and Moore was delighted with the showing of his attacking stars.
He said: "We were in great from start to finish and I was pleased to see Kyle Wilkie get a goal because he has been working hard.
"David O'Brien did well for us considering he didn't train until Thursday, but he was the catalyst for us playing well.
"When he plays well, the team plays well.
"I was only worried the other players would see David didn't train until late then started.
"But he went out and scored then set up the second and gave them a hard time."