How and where do you find new clients for your design business?

First, you need to find your target Business Niche. Second, Use google maps to find businesses under those niche. Maps give you information about the business. Third. Check out their website, If you are looking for designing their website. Thoroughly point out UXUI improvements that can be done to increase their ROIs. If you are looking for graphic design, check out their social media pages. Check out their designs. You can provide some sample designs better than what they have been using. Mail your concepts to the client. Also publish those designs in Behance, Dribble, Instagram as fan artworks. Use their business tags. You will some how be noticed one way or the other. Hope this idea helps :)

Cold outreach. Send emails or LinkedIn messages to potential clients who you think might be a good fit for your services.

networking events and LinkedIn are good starters.

Cold outreach. Send personalized emails or LinkedIn messages to potential clients who might be a good fit for your services.