I want to design a professional logo for my business. What software do you recommend in the $100-$500 range?

It's a residential design/build business. I have a strong CAD background, so I should be able to catch on to the concepts quickly. The program should allow for importing and manipulation of different fonts, images, graphic drawings, etc. I'd like to be able to develop something for business cards, signs in front of homes, billboards, ads for magazines, merchandise, stationary, etc. So, ideally, the program should be able to lay out and export the design most commonly required for these things. In the future, I'd like to use the designs for a website. Thanks in advance for your help!