This guide will be updated and adjusted accordingly as quests and achievements are added along the development path.
Magic: Training up magic may be challenging at the start before people start runecrafting and selling runes more or gaining chunks of money, but magic is one of the easiest ways to get to the center of main cities quickly.
Task System Rewards/Quest Rewards: Task rewards such as the Explorer's ring and the Ardougne cloak are excellent ways to quickly get to a few locations. To claim them, you must meet the minimum stat requirements to complete the diary you are claiming for and then speaking to the task master for the area.
Explorer's Ring (Speaking to Ned, Explorer Jack, or Bob in Lumbridge): Unlimited teleports to the cabbage patch south of Falador. Incredible for farm runs.