I am flying on BWI-IAH (CO527) arriving at 8:22AM connecting to IAH-OAK (CO673) leaving at 8:58AM on Monday, Oct. 29.

What terminals should I expect to arrive to and depart from?
What do you estimate are my chances of making it?

I will have only carry-on, and will be traveling with my wife.

And before people ask, I just looked for the earlier arrival at OAK for the cheapest flight when booking, and forgot to see the ridiculously short connection time...

Bought the ticket at CO.com, so I guess it is a "legal" connection, just wondering if it is a doable one...

Am I right to assume that if I miss it CO will put us in the next flight with available seats? Should I have something prepared for the event?

Thanks for your insight!