WIll it be a good idea to host my website images on a 3rd-party service?

Depends on lots of factors.

But for a simple answer if you have a low budget website and do not have that many pictures (less than 1k) it’s better to optimize your image and host them on your own server and use the money on more important aspects of your site.

You can always migrate your images to a 3rd party when ever is needed with ease.

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