Run-off is a natural consequence of good drainage. In taking care of your plants you will more than likely give your plants a good soaking which means you will water until water comes out of the bottom of your planter.
If you don't want water running everywhere use catch basins, saucers or plates under your planters.
In order for your planters to drain properly into the catch basin, make sure that there is air space between the bottom of the planter and the basin.
Bear in mind that catch basins are just there to catch the water you do not want to ruin the drainage process by allowing your planters to sit in a basin full of water.