Interjovian (alt. interjove) is most commonly used term for maneuvers within the orbital space of the Jovian system (example use). Cis- prefix followed by an adjective for a specific Gelilean moon within orbital space of which such maneuvers are performed could also work. E.g. cis-ionian, cis-europan, cis-ganymedean, cis-callistonian. If you're unsure about possible adjectives to use, Wikipedia is quite handy for that and listing most common ones in the right column of (nearly) every specific celestial body. Mind that unlike proper names, their adjectives are not necessarily capitalized, and the use of the hyphen seems to be optional, too.
Interlunar doesn't quite work, since it's not specific to natural satellites of a single celestial body, so it could be interpreted as equivalent to interplanetary. Similar could be said for suggested intersatellite. Perhaps a better, more specific term could be intergalilean, but I've not come across it in literature yet.