I generally start out (at least 1-7, though it's possible to do 1-8 here) on just the bees and (at night) bats in South Gustaberg. They're easy to kill, and particularly with an aketon, I can get nice, stackable drops. You can talk about silk, but crawlers aren't exactly the safest target for a low-level. Poison can easily kill you with such low HP.
After that, I like Horutoto. Goblins and bats all drop good crystals, as well as bat wings, onions, and various clothcraft stuff. You can toss the low-level gear they drop, desynth it, or whatever.
I usually wear my aketon (for more crystals), Waders, starting ring, and fisherman's legs/hands. Once I get to level 7, I go with either the Justice Badge or Wing Pendant, depending on job.
The important thing to remember is that, for most jobs, it's usually faster to mow down a bunch of EPs than to try to take on DCs, EMs, etc. and have to frequently rest. That also means you get more drops, because you have a higher amount of kills. Additionally, don't forget the food! Even something dirt cheap can help a lot. Just remember that percentage-based food (like sushi) is usually worse at lower levels than food which gives you an absolute stat bonus.