Simple Audio Cutting & Pasting Question

Our band is in need of a simple 2-3 minute mixed song demo recording. We already have 12-13 covers recorded and mastered but now I need to extract some of the best segments of those songs and reassemble them into a single audio track.

What is the easiest way for me to do this? What program to use, method of cutting the bits off the originals, putting them back together, etc. I am an absolute dolt when it comes to this stuff so the simpler the program, process or instruction the better.

Thanks