You need to download OPML file (your subscriptions list) from your current feed reader and upload it to BazQux Reader (click “Add subscription” ⇒ “Import OPML”).
Here are the OPML file download links for some readers:
Feedly https://feedly.com/i/opml
InoReader https://www.inoreader.com/reader/subscriptions/export?download=1
The Old Reader https://theoldreader.com/reader/subscriptions/export
Feedbin https://feedbin.me/subscriptions.xml
NewsBlur http://newsblur.com/import/opml_export
And of course you can upload your Google Reader Takeout.zip file.
To export feeds from BazQux Reader click https://bazqux.com/opml