There are both federal and provincial courts. Each province has its own court system. In BC there are the Provincial Court, Supreme Court and Court of Appeal, as illustrated by this chart:

The Provincial Court and the Supreme Court of BC handle general civil and family law matters. The Court of Appeal is the highest court in the province and hears appeals from the lower courts. An appeal is when judges review the decision of a case from the court a level below. Decisions of the Court of Appeal may be appealed to the Supreme Court of Canada.