Is it worth moving IKEA furniture?

This is really up to you. If you are moving internationally then it would be worth it to sell your Ikea furniture and buy more when you get to your new home. If you are moving locally then there's no reason to sell it, pack it up (disassemble it safely first) and when you get to your new place put it back together and give it a new place in your home.

For longer long-distance moves, or if you think it won’t survive a move then sell it and get new furniture at your new destination. It is up to you, what you think your furniture can handle, and if you want to buy new furniture or not.