Someone in this situation rarely does a C-Corp (expensive, double taxation, no need to obtain venture capital, Section 1202 stock not going to be an issue likely).
An S-Corp on the other hand tends to offer some self-employment tax savings and is a pass-through entity, so no double-taxation (start with an LLC through your state, then elect S-Corp status using Form 2553 at the federal level). As a personal service S-Corp, which you likely would be, Congress is currently looking to plug the employment tax savings loophole by year end. Before this (the new bill), doctors, lawyers, consultants, me, and others have been paying taxes on part of our earnings subject to employment taxes, while the other part we get to take subject only to income taxes.
If you don't do one of the above, you can report your earnings on Schedule C of your Form 1040. All of your earnings will be subject to self-employment tax on top of regular income tax. If you are in a higher tax bracket to begin with, it means about half of your earnings can go to taxes (self-employment tax is 15.3% in general).
Let me know if there is something more I can do to clarify. I might try an S-Corp if I were you, especially depending on your business, but this does sound like a situation where, once Congress acts and you have a personal service S-Corp, you might as well just stay on Schedule C of your 1040.
Thank you for your question.