Well, I am not a lawyer, but my understanding is that the liability protection is very similar.
I'm not sure what @dnbrv means by
The difference is in financial protection. If that is in reference to business debts, LLCs will also provide you with limited protection against business debts. Maybe the difference is in what the cap is?
In real life things get tricky, for both LLCs and Corps. Since you are starting a new company with no credit history, anyone you get a loan from will likely ask you to personally guarantee the loan. That means that you are personally on the hook for the loan, not the company. This includes things like credit cards and office space. Note that this will apply whether you form an LLC or a Corp.
If you don't plan on seeking outside investors, and are concerned about injuries and lawsuits, my suggestion is to form an LLC (because it is simpler and more flexible) and then get liability insurance on top of that. The reason I suggest this is because liability protection seems to be important in your case, so you'll want to get it even if you form a Corporation.
Nolo has a book that discusses the differences between an LLC and a Corporation. You may want to check it out. Tip: Check your local library first.
Also, search our site for liability insurance. You may find some useful information. For example:
How do I determine how much Liability Insurance I need?
Should I establish an S-Corp or is Liability Insurance enough to Protect myself from Personal Liability?
Is it worthwhile to get business insurance?