Choose a thick fabric. The thicker it is, the easier it will be to cover up any tears or rips in the couch. Thicker fabric will also cover up the couch's previous color or pattern.
Measure your couch's cushion pieces, and cut out pieces that are about 5 to 6 inches larger than your cushion along all the edges.
Wrap the cushions in the cut fabric, using the safety pins to pin the fabric inside. Do this for each of the cushions.
With the cushions off, drape the large fabric or sheet over the couch. Tuck the fabric into all of the couch's crevices.
Take any remaining fabric and tuck it under the couch.
Pin any places where the fabric slacks or seems messy. By using the safety pins, this should allow you to create a more fitted look.