Transportation services and lift club (Kuwait City)

Hi all, I am desperately looking for a transportation company or someone wanting form a lift club/ car pool. I start work on the 20th this month and will need leave from Maidan Hawally to Kuwait City at 7am. And back again, leaving Kuwait city at 1pm before my daughter finishes school.

I am not keen on taking the public bus service or spending ridiculous prices on normal taxis.
Any suggestions or recommendations?