Greetings,

I do not have experience moving carpet tiles but I do moving carpet. A
room of the size suggested will have several pieces seamed together.
You can cut the pieces and seam them together again with possibly less
expense than carpet tiles. If you decide to go with this option you
will lose some carpet due to support posts. Try to have each support
post in the middle of a seam when you initially lay the carpet.

Hope this helps,
William