I will alch all rune objects (limbs bars, limbs, kitshield, sq shield, full helm, mid helm) Aviansies: i will pick up all Adamant bars RS3 Items. I will alch all runite daggers and limps. Remember , avies addy bars can be all too common and limps as well as daggers don't come along as often, while irons drops are the majority of them rare and some like vissies are too scarce, but they're worth much more than avies usual drops. Any other suggestions or details will be greatly welcomed and thanked.
Personally, I'd suggest the Karamja dungeon, in the Tz-Haar zone. There's an array of options to choose from you can choose to melee them at that point with a normal weapon, food, and a bunyip if it's possible to. Alternately, you could halberd the swarm from a safe spot, or range them from a safe spot which makes it food-free.
The other option is an armamentarium that you can try in its own right, or with the combination of any mentioned above. Of of course, there are many other areasto try, but I'd recommend this area for sure. I just realized that the title states greaters, but the text states lessers.
If the task is actually higher than that, then my one recommendation would be the dungeon located in Brimhaven. You can choose any of the aforementioned options however Buy RS Gold, you must battle the terror dogs, too. There aren't a lot of good options for bigger dogs (no word intended), but you just must continue to fight when it comes to those.