As has been mentioned, you could probably get away with using a jigsaw for cutting out the top/back to rough shape, with a fine blade, high speed , and perhaps a 'zero clearance' mouth added to the base (some saws have a plastic snap-in 'mouth').
I'd probably use a hand coping saw with a good support under the wood, and a fine blade. (I think the 'rule of thumb' is that you should have several teeth in the work at all times??).
I'd be careful about using a router for this job unless you have some experience (knowing what direction to cut,when to 'climb cut') and also have the correct cutter as Michael specified. It's very easy to split thin wood when routing, if you don't have good support and pay attention to the grain direction..
Not many will agree with me, but a (very) cheap small benchtop bandsaw can be handy for jobs like this and general utility cutting. I had a (mostly plastic as I recall) Black&Decker bandsaw for a while and cut all kinds of stuff with it. After the motor failed (I only had $40 in the saw, so I wasn't heartbroken) I adapted it to direct drive from a 1/3 hp motor I had around and cut all kinds of metal with it- bronze castings, etc. You see these on Craigslist cheap from time to time and they are a stopgap till you can afford ($ and space) to get a decent 14" saw.
Of course, Torres would probably have grabbed a knife and done this job by hand in about 2 minutes
Cheers
John