As juanitos said, you need to consider space limitations and more. This is going to vary from one grower to the next. My max hot pepper grow was 48 plants, started January 1. That would have been fine if I still lived in TX or So CA, but I lived in (and still live in, for the time being) OH. It would also have been fine if I had more room inside my house - I have an unheated, detached garage which gets too cold in the winter for chile plants to survive, so inside the house was my only option (and still is) until about the middle of May.Â
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I start seeds between damp coffee filters placed in clear plastic tubs - no space problem for 48 seeds. As soon as they sprout I move them to the little plastic Solo bathroom cups with holes cut in the bottom - still no space problem. When they outgrow the bathroom cups, I move them to large Solo cups, again with holes cut in the bottom and again with no space problem. After that, though, things started getting tight. Some were clearly outgrowing the Solo cups, so got moved to 1-gallon pots. I didn't really have room for more than 10 of the 1-gallon pots.
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Consider that you need not just space, but appropriate space - when you water them and possibly some water will still leak out of the drain holes, do you have a place where you don't care if it gets wet, or do you have saucers of some sort to catch the water? And does your allotted space have sufficient light, or will you  need to get lights? Air circulation is very important, so do you have a space (or even multiple spaces) where you can also put a fan in such a manner that the plants get good circulation from it? How are you going to water the plants? Watering Solo cups is no biggie, but once you start getting them into larger containers, do you have a sink or tub that you can put them in to let them drain?
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If you find that you started too early, you can do things like reduce light, watering, and temperature to help slow the growth down. You're in SC rather than OH and likely don't have as long of winters as we have here, but again, the number of plants you have will make a big difference. I didn't realize how spoiled I was when I was living and growing in TX and CA. Now that I'm in OH, it's a whole new growing world.