Definitely use your window for natural lighting. It's bright and soft.
And also use a reflector (can be a piece of aluminum foil or a blank piece of paper) to fill in any shadows or to make the image less contrasty.
If you use a black background my advice is that you make a photo with the background blurred and one with it in focus and choose whichever you prefer.
I bet you know how to do this from Gordon's videos.
You might want to invest in a lightbox or make your own. It's what many Stockphotographers use to make photos of household stuff like spoons.
And just an idea: If you really want people to pay attention to the statue get creative and put it in weird places like in the middle of the road on a rainy day... on a DJ disc... inside a huge green jelly (jello)... etc. But this might be abusing on the statues.