The OP was edited after I voted to close it. Still, there is a lot of stuff that is open in the blank.
In addition to the comment by Robert on the question, I would like to elaborate a bit on BenV's comment, and give an impression of the answers to choose from:
Live recording is not enough to know to give a proper answer. You could do primarily multitrack recording, in which I would tend to suggest a digital mixing console with different features, probably such as total recall or even DAW controller-related stuff, but you could also do a live mixdown to 2 tracks, which means you definitely want an analog mixing console with many channels, many auxes for effects, probably some busses and if you want to backup multitrack, you want to be able to get all the stuff direct-out to your multitrack recorder.
Even without mentioning portability, the type of music you plan to record, the amount of channels, etc. the difference between analog and digital consoles is big enough to not mix them up here.