First i do the tutorial quests, while getting the Xander Root i loot the school, and while getting the Broc Flower i loot the cemetary, how deeply depends on character

Then follows the "rescue mission", after which i loot Yangtze Memorial and the nearby hut, Devil's Gullet and Goodsprings Cave and go the store. Further deveploments depend on character, but usually continues with "Ghost Town Gunfight" quest.
Same really, I also loot most of the goodstuff in Goodsprings ( all if a thief build ).
Get my hands on a stealthy weapon and kill everyone with an assassin, with more a thinker / tinker build I do all those little unmarked item gain quests around town.
Plus all those tool boxes and plants for making stuff, on a gun build I also try to convert as many 20 guage to slugs as I can.
I also now like to head to the NCRCF and Sloan for things to do and stuff to find, steal, loot and buy, before doing much else in primm.
Then there's hunting season, Gecko's, Coyote's, Flies, Horners and sometime rad roaches and Mole rats.