I loved this short video lesson by Peter Martin and since we have lessons on “Just Friends” and “What is this thing called Love”. I thought you might enjoy this to enhance your experience with these tunes.
He encourages a practice with a tune you know well, and RESTRICT the left hand to half or whole notes on the 1 and 3; then play melody in right, then begin to add little embellishments; The idea is SIMPLICITY and TIME, and independence between the hands.
It sounded simple enough, but I tried it and realized I have much to learn about it!!! Gotta work on that.