I have a complex scene that is getting difficult to see with the wireframe. How can I hide some of these objects so that I can see what I am doing?

Click the Eye icon to hide the object. ... The Hierarchy List area displays all the objects in your scene. The icons on the left side of the listing indicates whether or not the object is displayed in the preview area. i've found this in the help

Or select the object and in it's attribute box select "hide object"

You can also try working in solo mode by selecting the objects you want to work with and then clicking on the solo button. If the scene is really complicated and getting difficult to work with you might also want to try breaking the scene up into several files - you can always merge the files when you're all done and ready for your final render.

There are a couple of things you can do to minimize the wireframe appearance. You can preview an object's wireframe as a box using the Attributes menu.( the hidden option keeps the object from rendering, on my computer anyway ) Show as box option will show the object as a box outline. The wireframe shadow option ( on the right of scene window ) will help unclutter the scene, by eliminating the wireframe shadows. You can use the wireframe resolution option ( on the right of scene window to ) To minimize the wireframes to 8. Motion: will set object's wireframe resolution as their being moved. Static: will set wireframe resolution when objects are not selected. Selected: will set objects wireframe resolution when their selected. Another thing you can do is make families so different objects can have different color wireframe. This makes it easy to select all the objects that may share the same material, or objects that are common with each other but not grouped together. As already mentioned solo mode works wonders with large cluttered projects.