I personally wouldn't recommend buying effect pedals just to copy one song (although I have literally lost count of the number I own).
I can recommend the Boss TR2. (You can also get the tone for the intro to boulevard of broken dreams if you combine this with overdrive)
My favourite reverb pedals are the Polara (which is discontinued), or Strymon Big Sky (pretty expensive, so only if you need what this can do).
Fuzz pedals can be hit and miss, and can sound great with one guitar, and then suck with another. Big Muffs tend to be good.
As an alternative to a fuzz, I'd recommend the Boss Blues Driver, which can go from slight overdrive to borderline fuzz distortion (so gives a greater choice of distortion than a pure fuzz pedal).
I wish this forum had a "block user" feature. Possibly I'm not the only one......