To Chuck's way:
When I record my P-Bass, Line 6 Bass or my Custom 5 String they always go "DI" into my LA-610 then dbx 266xs into my RME UFX. The typical chain is then FabFilter ProQ2 (for highpass), UAD Helios EQ, and any of the compressors I have depending on the song. Then when I really want bite I'll add chorus and distortion (via EZMix2's bass chorus).
When I record my Alembic (oh, did I mention I have an 1977 Alembic Series I bass?

) I use my F2B preamp into the RME. Because the Alembic can have separate out for the bridge and neck pickups I record separate tracks and may EQ/FX them differently. Or I may record it in mono. Just depends on the song and what I'm after.
When I do use bass amp sims I will use IK's Ampeg or Bassman, Softube's Bass Room, Line 6 POD Farm. I do have Recabinet 4 from Karzog but for some reason it does not get much use.