Good to hear Brian. While it is traditional to add chain directly to the anchor, in order to lower the pulling angle, the very light weight of the plastic Cooper anchor can easily be overwhelmed by the weight of the chain. By separating the chain by even just a few feet, you remove this effect, but still ensure that the pulling angle is as low as possible. In fact I store my Cooper with the thicker line, swivel and shackle at the end already attached, so if necessary the chain and/or more line is attached to the end of this.
Of course, with moderate anchor line alone (my "lunchtime" standard line is about 30 feet long and only 6mm diameter), the anchor digs in quite well by itself into a sandy bottom, and if the depth is no more than about 6 feet, will take a lot to dislodge. I only add chain and more line if the water is deeper and/or conditions are rough.
It is not a bad idea to experiment with your ground tackle in various wind and tide situations so that you gain confidence in being able to stay put if you really need to.
Another truly great jigger to add to your ground tackle bag (I keep all mine in a drybag behind my seat within easy reach, as the 1.5kg blue Cooper is a bit of a squeeze through an 8 inch hatch, and I would bet even harder to extract if in an emergency situation), is a "Bluescrew". The picture of them in use (thanks stringy) explains it best. These inexpensive devices can also be used to keep a tent etc. from blowing away.