For my pots with multiple drainage holes (including ones toward the walls) I tend to hold the pot at a 45 degree angle after watering it, with one of those holes facing down towards the sink, to allow the water in the pot to pool in that spot and more easily flow out. I also place my finger at the hole opening so that the water cohesion/adhesion property (I confuse which is the proper term here) helps the water to flow out. For pots with a single hole, I hold the pot straight and insert my finger into the hole for the same effect. For pots with a hole too small to insert my finger, I take a paper towel and roll it till it's thin enough to insert into the hole to absorb the excess water. Admittedly, this doesn't work so well with large pots that are too heavy to lug to my kitchen sink, which I don't yet have too many of. The whole process can be time consuming as well.
But it's just what I do and I find it helps avoid overwatering!