There are two varieties of enclosures which are associated with CNC machines:
- Electronics Enclosures --- for protecting one's electronics and making them more convenient to use / access.
- Soundproofing Enclosures --- enclose the entire machine and provide shielding against noise, vibration, dust and the occasional broken bit.
- http://www.startwoodworking.com/post/how-silence-your-shop-vac --- damaged ceiling tiles are an inexpensive option for sound-deadening.
- https://www.thinkvacuums.com/vaculine-central-vacuum-square-muffler-765500w.html 
And one user placed theirs on a cart:
Shapeoko 3 folding mobile stand, Dewalt DW7440RS --- Second example and some upgrades at: http://community.carbide3d.com/t/an-update-on-the-shapeoko-3-dolly/8610