Rotherham made a flying start with a goal from Kieran Agard in the 12th minute but three smart saves by Jon McLaughlin kept City in the hunt until the 62nd minute when Alex Revell added Rotherham's second.
And leading marksman Agard added the third eight minutes later - with Michael O'Connor providing the crosses for each of the three goals.
Disappointed City manager Phil Parkinson kept his team in the dressing room for some time after the game. But a delighted Evans was not so shy.
"Our performance levels continued where they have been for the last few weeks," he said. "Everything went for our front two.
"The performance was just about perfect and we could have won by much more, and that was against a Bradford team I have the highest respect for.
"It was fine margins at 1-0, particularly when we missed a couple of one-on-ones and a couple more half chances, but it could really have been four or five by half time."
And the Rotherham boss had high praise for Alex Revell. "His performance was a credit," Evans said. "I thought he was magnificent and he absolutely destroyed their back two.
"He creates things, holds up play and brings other players into the game."