EchoFeed is a lovely service to enable this regardless of what service you use to publish on your own site (so long as it supports RSS/Atom/JSON). I've used it to good effect for my blog in the past.
If you’d like to dip your toe in the blogging pool for the first time (or again), I’d appreciate if you gave https://pika.page/ a look. It’s free for your first 50 posts (that’s a lot).