The Copnor outfit cruised to a 3-1 victory over Barnstaple Town at Dover Road on Saturday.
And boss Dave Carter was delighted with his side's performance.
'˜We didn't pick up a single booking and are determined to put last season's discipline problems behind us,' he said.
'˜It is an area that cost us a place in the play-offs last year.
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'˜The players have been left in little doubt we won't allow it to blight our season again.
'˜They have been urged to make a fresh start.
'˜Apart from one lapse in concentration I couldn't have asked for a better start.
'˜We dominated the game from start to finish.'
Playing a high-pressing game and keeping possession well, Moneys soon created chances.
The hosts deservedly hit the front after 15 minutes when a long clearance by goalkeeper Steve Mowthorpe was flicked on by Sam Pearce.
And debut-making Lloyd Rowlatt, signed from Pagham, showedÂ great touch beforeÂ crossing for Lewis Fennemore to convert from close-range.
Before half-time, creator Rowlatt had turned goalscorer '“Â heading in a Pearce cross to extend the lead.
Moneys continued where they left off in the second half and a good passing move ended with Joe Briggs stroking home a third goal.
A poor back-pass by Dan Woodward let the west country visitorsÂ in for a consolation with 10 minutes to go.
Carter added: '˜Hopefully we have greater strength in depth this season.
'˜The aim is to be up there challenging for the play-offs again.'
Bognor maintained their unbeaten start in the Bostik League premier division with a 3-0 win overÂ Bishop's Stortford at Nyewood Lane.
Pompey loanees Dan Smith and Bradley Lethbridge did the damage in theÂ final eighteen minutes.
Smith hit a double '“ one from the spot '“Â after Lethbridge had given the Rocks aÂ 72nd-minute lead.Â