Use search engines like Google and enter keywords such as "web design Albany NY" or "website development Albany." This can lead you to local web design companies.
Local Business Directories:

Check local business directories such as Yelp, Yellow Pages, or the Chamber of Commerce for Albany. These directories often list  web design Albany NY  along with reviews and ratings.
Ask for Recommendations:

Seek recommendations from friends, colleagues, or other businesses in Albany that have had positive experiences with web design services.