Put all the batteries in the shop.. Get a "Jump start" battery pack, something with a fairly big number on it 750 to 1000+ followed by the words Peak Amps.
These jump start kits (I will link to one) have battery clips (Jumper cable) types on short cables attached to them
Black clip to the generator chassis
Red clip to the generator PLUS post (May be color coded red)
Fire it up, keep battery connected till you shut it down, lug luggable pack back home to re-charge on mains power.
Schumacher - 850 Amp - Jump Starter w/Compressor - Sam's Club
Note, I like the basic Battery, work light optional, these units with Compressors and/or Inverters are just added weight in my book.
I used to have one that was 1,000 amps, all it was was battery and charger board, nothing more.
They contain around 20-30 amp hours of AGM battery.