Without getting into an argument about which exact verb you should use, I would suggest that it is often good practice to use a "strong" verb to support a "weaker" one.
Think for a moment what you mean by a "strong" verb. Essentially, you mean one that carries drama, action and excitement when compared to its more pedestrian alternatives. As in all things, it is a matter of getting the balance right. If you overuse powerful verbs, they lose all meaning but if you use them sparingly they convey your thoughts much more powerfully than would otherwise be the case.
Let's look at the two sample sentences you offer. My first impression upon reading the first one is that you are describing a small action. In my head, I could see the old lady at church turning to polish the brass work or something equally mundane.
In the second sentence, however, I am now expecting something more dramatic to happen. Why are you crouching rather than just going down on your knees? What has happened? What do you fear? What are you hunting? The second sentence sets an expectation of drama in a way that the first one simply does not.
So: think about what you are trying to achieve with each sentence. If all you need to do is carry the action / plot / scene forward a little, "weak" verbs will do. If you want to hint that the pace is hotting up, to fool the reader into thinking something is about to happen or to set his expectations for the drama which is to follow, use a "strong" verb to support your "weaker" verb.