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Follow best practices when dealing with hazardous chemicals/waste
If you use common sense, you're most of the way to OSHA compliance. Use safe sharps, protective equipment, universal precautions, and clearly marked waste containers. You know the drill.
Maintain a list of hazardous chemicals in your office
Keep track of all hazardous chemicals you store in your office, and make it available to your employees. Additionally, print out Safety Data Sheets for every chemical in stock. You can find most of them for free online.
Buy a fire extinguisher and mount it on the wall
Print the OSHA poster and put it on the wall
Here's a PDF.
Know how to report incidents to OSHA
Every employer is required to report any workplace incidents that result in a fatality or the hospitalization of three or more employees. You can report these online here.
With more than 10 employees: draft an emergency action plan
Any employer with more than 10 employees is required to create a written emergency action plan. See OSHA's sample plan.
With more than 10 employees: do incident reporting and logging
Any employer with more than 10 employees is required to fill out an incident report (OSHA Form 301) of all workplace illnesses/injuries, going back at least 5 years. You must ALSO add each incident your your injury/illness log (OSHA Form 300). You must log some additional information for any injury involving sharps.
You must also fill out an annual injury/illness summary form (OSHA Form 300A). All these forms are available here