There are no hill giants actually in Varrock, the closest hill giants to Varrock would be the ones in Edgevil Dungeon, just head to edgevil which is north of barbarian village and go down the ladder with the '!' icon on the mini map, follow the dungeon right to the end passing all of the skelitons and Zombies until you reach the hill giants.
Note.
There is a key loacated between the hobgoblins and the hill giants, if you take this key you can take the ladder which is right next to the hill giants and enter through there (so long as you have the key), it leads to near the cooking guild.
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moss giants are level 42.They can be found a=in the varrock sewer
Buy it, get it from the Hill giants.
I attacked moss giants in the Varrock sewers until I got to level 60 attack. They have good drops, especially for members. Also, attack red spiders in the Varrock sewers or Hill Giants in the building next to Barbarian Village. Completing quests also give you experience in some areas.
Varrock
A copy of the Varrock Herald can be purchased from Benny in Varrock Square for 50 coins.