Is it correct to say, "I will move the 'stones'(meaning stone urns,
stone statues and stone stools) from my warehouse to my backyard"?

You plurality appears to be correct however the meaning of 'stones' in
that context is ambiguous.

I think this would be preferred:
"I will move the stone objects from my warehouse to my backyard."

You asked a very similar question yesterday ...

http://answers.google.com/answers/threadview?id=450009

And rated it as 'Clear and indepth answer.  Thank you' with a $5 tip.

So what's new?

My friend and I are having an friendly argument about "stone" and
"stones".  He refuses to accept your excellent answer and insisted I
word it his way, I suppose he thinks that both are correct and I
disagree.  He has a problem with all his plurals and says "furnitures"
for "furniture" when he is speaking about more than one piece of
furniture.  Thank you for your interest.

Thank you for your answer but the question was not how to make using
stone correct, but, is it correct to use "stone" in this instance.

Your sentence is grammatically correct, but, as a native speaker of
English, I must say that I have never heard "stones" used in this way,
and I can find no dictionary reference that would support this usage.
If the items in question were gravestones, monuments, or "standing
stones" (as at Stonehenge), "stones" would be easily understood, but I
have found no specific references to "stones" as a synonym for urns,
statues, and stools.