If you would like the texture pack to include animated textures (water, fire, lava, etc.) and other additional features in the texture pack, then click the link under "Download" on the texture pack you want for your map. (This process is a bit longer.)
If you don't mind having non-animated textures, then click the link after the word "Link" on the texture pack you want for your map.
Step 3:
If you downloaded the texture pack for animated textures, continue the tutorial here: Animated Textures
If you don't mind non-animated textures and clicked the link after the word "Link" on the texture pack, continue the quicker tutorial here: Non-Animated Textures