Okay, Bronze Ingots have been mentioned in desynths, but it should be stressed that you can synth them easily with Fire Crystals. You have two relatively simple options for this.
Level 2 smithing: Fire synth, 4x Beastcoin
Don't bother with this unless you're a Thief. You can steal these from low-level beastmen, but otherwise they're rare.
Level 3 smithing: Fire synth, 3x Copper Ore, 1x Tin Ore
You can mine for ores, but when it comes to simple stuff like this, I just camp the guild NPCs.
At the Bastok Blacksmith Guild, Copper Ore is usually 9 gil and Tin Ore is usually 30 gil. They become more expensive at times, particularly on Windday, Iceday, and Lightningday, iirc, but still manageable. If you're doing these in bulk, you'll probably end up buying stacks of Fire Crystals. I have a San d'Orian char buy them, but even if you buy them in Bastok, a stack of Fire Crystals is around 60% of the cost of a stack of Bronze Ingots, so you can turn a profit without much difficulty.
Also worth mentioning: Copper Ingot
Level 3 goldsmithing: Fire synth, 4x Copper Ore
Marginally cheaper to make than Bronze Ingot and sells better (usually). On Midgardsormr at the moment things have swung in Bronze's favor a bit, as Bronze is selling at 15k and faster than Copper at 17-18k. Normally in my experience Bronze goes for about 12k a stack and Copper for 20k.
Also, raising Smithing to start with isn't that expensive. I funded my first 10 levels of smithing by selling Bronze Ingots. Meant at times that I had to make 2 stacks of ingots to sell before I could make 1 stack as skillup material, and then another 2 stacks to sell before actually skilling on it, but it still wasn't too bad. Do take advantage of some of the wind synths for skillup, wind crystals are a lot cheaper than fire if you have to buy.