photoshop coreldraw illustrator indesign

For the vector illustration and logo stuff you'll continue using Corel Draw (or switch to Illustrator as you mentioned) but for layout it will greatly improve your workflow. InDesign doesn't do a very good job with Masking for example, only has basic vector tools, no real Photo tools such as Levels and Curves, and lots of other weaknesses. There's probably more but these are some of the main ones that come to my mind that make InDesign the program of choice for publishing and differentiate it from a Vector Based Illustration program. InCopy (comes with Creative Cloud and gives writers / editors ability to make simple changes without breaking things).

Packaging Deliverables to give to a printing press.

INDB (book) files and keep things organized

Character and Paragraph Styles (CorelDraw has these but Illustrator doesn't.).

Hyperlinks for things like PDFs and ePubs (CorelDraw has these but Illustrator doesn't).

Anyone with additional Corel Draw knowledge is welcome to edit. I've never used Corel Draw so this is compared to Illustrator but did glance online to see which of these Corel Draw offers and believe my list is accurate. A few key features that InDesign provides. InDesign is for larger, sometimes much larger publications and when combined with other Adobe applications is incredibly robust.

You're right that Corel Draw is like Illustrator.

Photoshop coreldraw illustrator indesign