Don't use chemical strippers. (The jigaloo or something similar to WD40 is fine) Also don't use heat. Basically, you don't want to use anything that would affect the glue used in the limbs. Heat and chemicals could do that.
You might have to do the sanding, but it isn't that bad. The glass is on top of the wood, so you won't get down to that. Just be careful, go slow, and keep everything even. 100 grit should take it off quick. You can use a rattle can finish if you want. Before setting up a spray booth I've used Deft with pretty good results.