Am I able to call electric company or electrician to install new 200 amp circuit panels and if so is there a limit?
CALL THE LOCAL ELECTRIC COMPANY AND ASK THEM

I would like to just use 1 house. I may just buy a cheap house and use it mainly for mining purposes.
CHEAP HOUSE PROBABLY HAVE A CHEAP ELECTRICAL WIRING , AND NOT ENOUGH INCOMING AMPS

Also another idea I had was to just get a shed to save on cost. Am I able to install 200 amp circuit panels in the shed?
CALL THE LOCAL ELECTRIC COMPANY AND ASK THEM , contact your local authority for more information and advice