I'd start by learning to use this
http://ffxi.somepage.com/recipedb/alchemy-synth-1.php
Some tips:
1 -> 6 just do tsurara and forget about wasting gil on bee'swax or antidotes it's a short stretch and you will skillup on breaks as soon as you hit level 1
9 -> 16 Mercury
Mercury 16 Lightning Cobalt Jellyfish x4
16 -> 20 Echo drops (they sell fast)
Echo Drops 20 Water Sage, Distilled Water, Honey
20 -> 24 Silent oils (buy the bee'swax it's discounted usually over what you'd hq at this point)
Silent Oil x4 24 Water Slime Oil, Beeswax x2
level cooking to 6 with some other guide
24 -> 28 Sarui Ran (sells fast one of the more commonly used ninja tools, will take cooking to 11)
Sairui-Ran x33 28 Recruit Cooking(11) Earth Kazham Peppers, Bomb Ash, Bird Egg, Bast Parchment
if you have smithing somewhat leveled (I suggest you do level it on copper ignots to around 10 i think) you can do
Blind Bolt Heads x6 31 Recruit Smithing(14) Wind Animal Glue, Bronze Ingot, Blinding Potion
31 -> 35 Bronze bullets (turn them into pouches and sell a stack of bronze bullet pouches)
Expensive stage but you should make most of it back
Bronze Bullet x33 38 Recruit Smithing(13) Fire Bronze Ingot, Firesand
35 -> 40 Firesand - Both are npc bought and sell somewhat quickly for some profit sometimes
Firesand x2 40 Earth Bomb Ash x2, Sulfur
Cheaper route
35 -> 40 Potion - I did this, it sucks take your time and do firesand instead
Potion 40 Water Sage, Lizard Tail, Distilled Water
40 -> 43 Vitriol - cheap to make and useful later
Vitriol 43 Water Treant Bulb x2
43 -> 45 Acid Bolt heads (should be slight profit)
Acid Bolt Heads x6 45 Recruit Smithing(14) Wind Animal Glue, Bronze Ingot, Vitriol
45 -> 50 Holy Water (keep the water)
Holy Water 51 Light Distilled Water
50 -> 53 Holy Bolt Heads (should be slight profit)
Holy Bolt Heads x6 53 Recruit Smithing(14) Wind Bronze Ingot, Holy Water x2
53 -> 56 Sleeping Potion (should be slight profit)
Sleeping Potion 56 Water Chamomile, Sleepshroom, Poison Flour
56 -> 60 Glass Fiber (shouldn't loose too much gil if you are smart)
Glass Fiber 61 Fire Flint Stone x8
the higher you go the more accustomed you should get to loosing gil to skillup but till 60 at least you can get most of the way while profiting (at least a tiny bit on some points or loosing a minimum of gil)
This guide is a mix between doing it fast and loosing the smallest amount of gil in the process.