It seems the method I planned on doing this whole time and was even the first thing I did in old school Runescape has become quite popular and is catching on.
I was going to do that next. Once I leveled up enough to steal from the fur stall, I was going to do so and then bank it all as I got it. After I would get a good amount, I would go to Varrock square to sell all the fur to the fur merchant there.