Hehe, I made this journey about 5 years ago, though I actually bought War, and had the best of 1980-90 before the newest album at the time, ATYCLB.
Have fun, not sure how new you are, but just some fyi's.
Bono's real name is Paul Hewson, he's the one doing most of the singing. Writes 95% of the words.
Edge's real name is David Evans, he's the lead guitarist. Who on live versions of "New Year's Day" will play the keyboard, guitar, and back up vocals, for the same song!
Adam Clayton is the bassist, one half of the band laying down the foundation, who at one time had an enormous blond afro.
Larry Mullen is the drummer, the other half of the band laying down the foundation and he started the band.
Your on your own for the rest of the journey!