Recording Multi Instruments On Several Tracks

Now how many channels do you want exactly? And what price range? What connection to the computer? Usually standard is interfaces with 8 or 4 mic inputs, some then expandable via ADAT, AES or spdif, to up to 32 mic input channels.
Tascam US 1800
Presonus audiobox 1818VSL
Focusrite scarlett 1820 i
MOTU 8pre
For example.
Or you could use your xenyx as stereo submixer into an interface with less mic input channels.