It's fairly straightforward to do. You have to file your appeal within 15 days. Then request a transcript. In Toronto, you then wait a year and shell out about $80 before you get it (3 copies).
When it's finally ready, you submit the transcript to the prosecutor and the clerk of the court. They'll only schedule a trial after getting the transcripts (although technically you don't necessarily need them).
Then you prepare and submit a factum explaining why you are appealing. Basically you have three arguments, insufficient explanation, errors in law, or errors in fact. I cover this in detail on the very last page of my site.