I’d probably use some satin polyurethane spray. It will be less maintenance than an oil. You should probably remove the tuners, and mask the nut, neck, and fretboard. Put on a couple of coats and you won’t have to worry about it again.
Nice job. Well done. +1 on seeing picture of the. Omelette ukulele when finish - full body shot as well as back.
Thanks for posting. GreAt idea. WhT scale was this travel Uke?