Reading your signature I would suggest P bass + Orange Terror with a good amount of preamp gain: just start flat EQ and add some grit to it. Not the old school "farty" fat grit but some higher end grit. Just in case, something like a VT-Bass pedal by Tech21 totally nails those sounds IMHO.
Those bands are all different but since it's not a tribute but I guess a cover band (since you play more artists) you could keep it fingerstyle with a basic tone for all and eventually buld some spefic sounds for specific songs.
I'm sorry to write this but I have to chime out - I have a more urgent purchase on list (new bass cab, current one losing vital signs...) In case it will be still available later, I'll let you know
