I’d like to set up temporary power for house renovation similar to the attached spec from Central Hudson with a 60 amp panel at the meter post with a couple of outlets, but then transfer the setup to my 200 amp power supply for the house with the main panel in the house.  My question is there any issue with running 4/0 SE cable to the 200 amp meter and use 4 or 6 gauge from the line side of the meter to the 60 amp panel.  I’m not clear if this is typical to downsize the wire this much at the meter or if I need a disconnect in between.  
It is legal for homeowners to do there own electric, but feel free to tell me to hire an electrician if you must.