Proper safety precautions for permanent transformer-radio combo?

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I have installed a car stereo in my house (don't ask why, its
complicated) using a transformer. The transformer is a basic radio
shack transformer with two poles, and I used alligator clips to attach
to the poles and then to the appropriate wires in the harness of the
radio. Everything works great, but now that I am planning on making
this a permanent setup (always hooked up) I am a little worried about
the safety, especially with regards to the alligator clips and the
semi-open poles.

I am assuming I need some sort of enclosure to house everything, but
what type of enclosure should I be looking for? What should go in the
enclosure? Just the transformer and the end of the wiring harness, or
the complete system?

Thanks in advance for any guidance.