Daggers boss John Still was delighted with his side's performance, while his opposite number Jeff King was left counting the cost of defensive errors.
All four goals came in the second half after the opening 45 minutes failed to produce any real goal threats.
In the uneventful first half it was the visitors who had the better off the chances.
Lee Boylan's free-kick after 16 minutes sailed over the crossbar from 20 yards out.
Boylan again threatened five minutes later when he latched onto a throughball, but the former West Ham youth player was well marshalled by the Daggers defender Anwar Uddin.
Dominic Sterling also had an opportunity to give the Gulls the lead when he got on the end of Chris Duffy's cross, but the defender could only direct his header straight at home keeper Tony Roberts.
The Daggers had their own chances through Moore and Boot but the prolific pairing were unable to make the breakthrough.
After the restart the game burst into life as Dagenham looked to recapture the impressive form from their weekend mauling of Gravesend.
Sterling was called upon to make an excellent last gasp header to prevent Moore from getting a sight of goal and from the resulting corner the home side took the lead.
Glen Southam's in-swinger proved too difficult for the static Canvey defence to deal with. Moore's first effort was blocked but Boot pounced to poke home the rebound from close range after 49 minutes.
They added to their lead after an error by Canvey's Peter Smith. The centre-back's back pass was very short for Danny Potter, gifting the ball to Southam. He raced forward before supplying Moore at the far post who made no mistake from three yards.
Canvey's travelling fans were left fearing a collapse but the two-goal deficit sparked them into life and substitute Neil Midgley scored a spectacular drive from the edge of the box 12 minutes from time.
Any hopes the Gulls had of clinching a point were wiped out when substitute Mackail-Smith added a third in the 89th minute.
Jake Leberl's ball into the box looked harmless but it received a welcome knock-on by a Canvey defender before falling to Mackail-Smith's path, who side-footed home at the far post.