If you work for yourself, there are some protections and benefits you may not get that you would have if you worked for an employer. One of those is workers' compensation, which covers you if you get injured on the job. Since you do not have an employer, you would be responsible for obtaining the coverage. While the California Department of Industrial Relations explains you can get workers' compensation coverage for yourself, it may not be your best option.
Buying workers' compensation insurance is not going to come with a low price tag. It may not end up being worth it just to cover yourself. Do keep in mind, though, if you have any employees, then you must carry this insurance under the law. However, if it is just you running and working in your business, then it is optional. If you do get coverage, you must make sure you make it clear that you are a sole proprietor.
An alternative may be to look into other types of insurance that could save you money. For example, you could get disability, life and health insurance policies that might offer similar coverage to workers' compensation or even better coverage with fewer limitations.
While the choice is ultimately up to you, it is a good idea to talk with an insurance agent to see what coverages would work best for your situation and make the most sense. Also, keep in mind that if you will expand in the future and take on employees, you will have to get workers' compensation insurance anyway. This information is for education and is not legal advice.