Well, publishing short story collections can be done by either finding an agent who can help you get a deal with a publishing house, or by going the indie route and doing it yourself. If you go the traditional publishing way, you'll need to write a compelling query letter and have a well-structured manuscript ready.
To publish short story collections, you could consider self-publishing through platforms like Amazon Kindle Direct Publishing. But make sure your cover design and formatting are professional. Another option is to submit to traditional publishers, but be prepared for rejections and a potentially long process.
First, you need to polish and edit your stories to make them as perfect as possible. Then, research publishers that specialize in short story collections and follow their submission guidelines precisely.