Don't know about SC; every state is a little different.
You can be a sole proprietor and an LLC.
If you are an LLC it will protect your personal property in case of a lawsuit. In CA it costs about $800.00 yearly fees + the cost of starting it.
In TX it is just the cost of starting (not much) and unless you make tons and tons of money (if you do, let us know the secret) no annual cost.
Other than that you will need to file for a fictitious business name (dba.) and potentially for business license (again depends on state and your city.) (in SF I need a business license, TX in the country side, all you need is to be alive.)
Many times local carpet cleaning associations have some decent insurance deals for members. I have my insurance in CA and TX with The Hartford. Some insurance policies will include care custody and control, (if you carry property of others) some will cover workmanship damage, you will need to discuss in detail with your agent.
Use the search feature, I am sure there are tons of good information already discussed previously :idea: