If driving there is free parking at the hotel, see the maps page.
If flying into O'Hare Airport or Midway (O'Hare much closer)
It usually costs about $30-38 for transportation to the hotel from ORD ($56 or so from MDW) .
The Airport has a tax or toll that is $2-4 that is added to the rate
The Hyatt recommends
For transportation to & from O'Hare (or Midway) follow this link
it costs $30 each way (ORD)
For transportation from the Hyatt to O'Hare
you can also order at hotel
Other options, Uber, Lyft and other taxi services
If you have any other services you recomend let me know and i will add them to the list.
Do not use a Chicago Taxi Free Parking!