There is no direct public transport from the hotel to the two main airports, sorry. If you can rent a car or afford an taxi, please share if at all possible. There is a ridesharing thread on the MEEHU group on FetLife.
If you hire a taxi, be very careful. Taxi companies in Chicago tend to be rather cut-throat. It is not unheard of for taxi drivers to claim to be a company who’d been called for a reservation and then jack up the price because they were not in fact the taxi company that had been called. Don’t accept rides from people at the airport who claim to be taxi, limo, or shuttle drivers: pick up a taxi at the marked taxi stands.
Taxis should run you about 40 to 60 dollars from O’Hare to the hotel in Glendale Heights. Most legit taxi drivers will let you add a passenger for an extra $2.00, so you can split that up. Just ask them when you call so you can be sure.
American Taxi is by far the most inexpensive shuttle service out here.
American Coach Limo company