As a fellow out of towner, I suggest taking the "L". I'm sure there is a station by your hotel, just make sure to plan ahead.
Me, for example: I get to Chicago via Amtrak, so I take Clinton (blue) to Jackson and switch to the red line and get off at Sox-35th.
Cell has great food, but it is pricey. For the money I'm going to drop for a polish with onion (which, btw, is the greatest thing ever), a souvenir soda, helmet nachos, you're better off just eating ahead of time.
Check out the two blue seats where Pods, and Konerko's homers landed. The statues, the shower. And just have fun.
I love the Cell. A lot of people s*** on it, but its my favourite park. And I've been to big crowds, and small crowds and its always fun to be at.
I know that seemed like rambling, but I hope it helped.