This may not work for everyone's states but there is a website where you can sign up for text notifications for available vaccines in your area. I got a text this morning that CVS pharmacies in my area had the vaccine. You can then go to the link in the text which will take you to the site of the provider where you can check your eligibility. Since I'm not in the 1A/1B group, I can't get the vaccine yet.
COVID Vaccine Signup Notification Tool
www.covidvaccinetexts.com
walmart has a similar site, here