the kemper is great for both bass and guitar, but well, if you don't need an amp for band rehearsals in the studio, I'd also suggest a decent preamp preferably with tubes. these start used around 500€ (alembic. ampeg, etc.)
if you want something great go the custom route like I did:
or get a demeter. usually miking a bassamp/cab is much more difficult to handle for a beginner in basstonerecording