I would play it exactly as written: so all the notes written in the lower staff, take with the LH, so in the second bar you don't haev to suddenly change.
Fingering for the second bar:
RH: 3 1 4/2 3 1 4/2
The melodic line in eight notes is 3 4 3 4, and the sixteenth notes are 1 2 1 2. Keep in mind the eight notes are not to be played legato.
From the sixteenth notes which fall to the left hand, you can shape an attractive counter-melody.
Walter Ramsey