You'll probably only need a taxi to get to the first spot. Then can walk from one to the other, at the beach anyway - even safe at night.
On the Cliffs, the road has no sidewalk, and many places very little room off the roadside - I would not walk many areas at night for that reason. Even daytime is sketchy in a few narrow, curvy, spots.
If going out during the day, suggest you use the Route Taxi's - very easy and very cheap. Many threads here already on that topic, so just do a search to get all info you need. But they are rare to find after dark - so you will need a "private" taxi to get back to your hotel. There will be many outside any of the active nightspots - just be sure to settle on the price BEFORE you get in. Easiest is to just tell them where you are going and suggest a price.
Like if at the Jungle, or Alfred's or Bourbon Beach (not too far from Riu) - "can you do $500J for 2 of us to the Riu?" They may come back with $1000J, then you haggle and settle at say, $750J.
If you are farther away, like Rick's out on the Cliffs (aka West End) - it will be higher, so far that double is fair. If the first driver won't haggle to a price you think fair - no problem, another one will. MAKE SURE THEY ARE RED PLATE.
Or there is a thread here with known reliable drivers - jot down their phone numbers and call them about 10min before you are ready to leave.
You'll have a blast - plus have lots of great stories to tell the other AI'ers to scared to get out. LOL