Any melody harmonises well with thirds, sixths or tenths. We start with thirds.
The thirds are under the melody in the right hand. A teaching video follows.
Here is the teaching video for this version.
Here is the stand-alone drill for thirds and the new left hand accompaniment.
You're not likely to get the fingering for the thirds unless you're fairly experienced. Expect to practice your thirds a lot, to get them playing both notes together and properly balanced.
Here's an up-to-speed scrolling-MS version of the thirds harmonisation.
Here is a version using sixths and tenths.
Here is the teaching video for this technique.
Here is your up-to-speed scrolling MS performance.
Now go on to try some of the 'Snake Dance Diaries' hybrid variations.