I didn't know that Marineland made a 10 gallon eclipse. Are you sure your 10 is not a 12 gallon? They come in 3, 6, 12 and 37.
Anyways, you should have no problem replacing your biowheel since you have your filter bed, which holds a lot of your beneficial bacteria too.
Unless you are overstocked, I think a quick swap should not cause any problems. But as a percaution, as mentioned above, just let your old one float around in your tank for a couple of days while your new one is running.