I live in an apartment and in both bedrooms (not to mention the living room) the outlet that is wired to the switch is lousy for the main floor lamps I am using. Is there a product on the market that allows me to divert switch power to another outlet, and still use the light switch?

Look into X-10 devices,

Buy at Smarthome - Dimmers, Lighting & Appliance Control (http://www.smarthome.com/_/Dimmers_Lighting_Appliance_Control/_/z/land.aspx)

Look these over, and get back if you have any questions.