Mix parts of 3 songs

I need to blend together parts of the following songs for a dance performance.

Song 1: https://music.youtube.com/watch?v=rhkYIWsjQKk&feature=share
From time: 0:00 to 1:20

Song 2: https://music.youtube.com/watch?v=52deq20h6Q4&feature=share
From time: 0:31 to 2:00

Song 3: https://music.youtube.com/watch?v=ATS1d6E-ivs&feature=share
From time: 0:25 to 1:42

Song 4: https://music.youtube.com/watch?v=42UX8JzMkjk&feature=share
From time: 0:14 to 1:25 + 2:06 to 2:53.

I want the songs to be blended in not cut and pasted.