I sold records for 25 years, 10 years in a retail store, 15 years in mail order/online. Before I moved here six years ago I got rid of my personal collection of 4,000 albums. I cherry picked about 500 mint condition albums and sold them to an FYE store for a $1 apiece.
You can donate them to an organization, but not everybody wants them, best to call first and then you can take a IRS deduction.
Sell them yourself in a yard sale, you can probably get a quarter a piece if they don't look too scratched up. I sold about 1,000 in yard sales, usually in bulk something like 200 for $100. Mine were all in mint condition jacket and record and titles that people would want.
If you think it's something rare and it's in mint condition, go on eBay and look up the title and see if someone is selling the same title or similar. If you're lucky you might have something you can get $5 or $10 or even $25, maybe more. You'll need to know how to grade the record and you'll need to get mailers. Here's an example, this mint condition album still sealed just sold on eBay for $275.
Here's a link to eBay, start searching:
vinyl records | eBay
For mailers I would suggest Bags Unlimited in New York.
Album Mailer FOLDER