There was a really good description of how to visualize the need (or lack ofneed) for tilts and swings. It's on the site somewhere, but I can't find it at the moment. Here's the quick version:
Take the elements that you want to be in focus, and mentally surround them with a box. If the box has three dimensions, where the dimensions are all 'sufficiently' large (judgement call required) then tilts and swings won't be that useful. However, if one of the dimensions is smaller than the other two, then you can use swings and tilts to increase the depth of field where you need it. If the box is veritical, then you can use swing, if the box is horizontal, you can use tilt. If the box is tilted, then you can use a combination....
Remember that tilts and/or swings don't equally increase depth of field along the plane of focus. As you get further away from the camera, the depth of field will increase - DOF is very shallow close to the camera, and increases as the distance from the camera increases. This is why tilts and swings work best with planar surfaces...
A was mentioned above, there are some good books on the topic - Steve Simmons has a good book on using the view camera - check it out from the library, and give it a good read. It's worthwhile.