That's not always a clear decision, especially when you are there looking at them and I am here. And you have to suffer the consequences of it, I don't.
Can you try both? It looks like you have room in that tray or even get another tray.. Put bright light on those and see what happens. With good light, they could easily straighten themselves out. With a bright light close to them they may stop growing longer and instead thicken up. Some of mine look kind of spindly when they start out but they usually grow OK. There are different degrees of spindly. And with some things like peppers, tomatoes, and cabbage, you can plant them deep and bury a lot of problems. If the stem thickens up, it is not a problem.
In the meantime, start some more. Find a way to cover them to keep them from drying out while sprouting, and see which ones you like best. It's your first time trying to start them indoors. Don't be afraid to try different things and you'll see for yourself what the limits are. Even with total failure, you learn a few things about next year and go buy some transplants for this year. I don't expect you to see total failure. You are not really in a desperate situation so don't over stress about it.
Some people have a philosophical problem throwing out extra plants. I don't especially like doing it myself, but every year I start too many just so I have enough and I only plant the best ones and only as many as I have room for. The rest go to the compost heap or occasionally friends, depending on how bad they really are. And some usually get used to replant ones that don't make it, such as cutworm damage or they just die when I transplant them.