Simple, straightforward, and RuneScape gold straightforward skill to train. Since the release of Winterodt it is possible to take this minigame for the experience of Firemaking. It's not necessarily the most efficient method , however, you'll get a lot of rewards for doing it, and it could increase your level of other skills. Furthermore it's not as boring than the standard techniques and has almost none of the requirements.
To begin your leveling process using the standard method, go up to the upper level that is Lumbridge Castle and light the logs that grow there until you reach level 15. From there, to 35, you must light Oak Logs that you cut yourself, and after that, your best call will be to choose Teak trees for gathering logs. You can continue Woodcutting and lighting the logs you gather from it, or transfer to Winterodt. Your firemaking performance will be sufficient to give you the best experience after reaching level 50. Remember that your Magic and Redwood logs should be saved in the game for Bird House runs, so you shouldn't make use of them for Firemaking.
There is no specific method to reach high levels of Fishing quickly, but as an Ironman your limitations won't keep you from progressing as fast as buy OSRS gold with other skills. You can start with the Sea Slug quest, which will allow you to go straight to the 24th level.