What Barry said about the crowds and ride closures is spot on. January/February is our favorite time to go...we love the low crowds. Some attractions will be closed, and for the one time visitor that could be a disappointment.
If you stay in a Disney Hotel you will get one hour of extra time each day, which is helpful. Since it is the "low" season, there could be discounts coming out later.
Weatherwise, it will certainly be warmer than Ohio. I like to dress in layers:
shirt, jeans, light or medium polar fleece (depending on how cold it is). We always tuck in rain ponchos and an extra pair of shoes in case of inclement weather.
Below are the park hours and schedule for typical days in February. Hopefully this might help you make your decision on timing. Here is a link for the entire week:
http://www.wdwinfo.com/disneyland/park-hours.cfm?month=2&year=2013
Tuesday, February 5, 2013:
DISNEYLAND PARK: 10:00-8:00
Mickey's Soundsational Parade: 7:00pm
Remember...Dreams Come True Fireworks:
Fantasmic!:
Jedi Training Academy: 10:30am, 11:35am, 12:40pm, 2:25pm, 3:30pm, 4:35pm
Mickey and the Magical Map: Not Scheduled
Billy Hill & the Hillbillies:
The Laughing Stock Co.: 12:00pm,1:00pm,2:00pm,3:40pm,4:40pm,5:40pm
Tomorrowland Terrace Entertainment:
Magic Morning Hours/Extra Magic Hour: 9:00am - 10:00am
Disneyland Park Events:
Disneyland Park Rehabs:
Mark Twain Riverboat
Big Thunder Mountain Railroad
Its a Small World
Splash Mountain
Mad Tea Party
DISNEY CALIFORNIA ADVENTURE: 10:00-8:00
Pixar Play Parade: 5:15pm
Disneys World of Color:
Disney's Aladdin-A Musical Spectacular: 12:40pm, 2:20pm, 4:45pm, 6:20pm
Disney Junior - Live on Stage:
Phineas & Ferb's Rockin' Rollin' Dance Party: 10:30, 11:25am, 12:25, 2:45, 4:10pm
Extra Magic Hour: Not Scheduled
Disney California Adventure Events: Red Car New Boys-10:30, 11:35am, 12:45, 2:20, 3:30, 4:30pm
Disney California Adventure Rehabs:
Grizzly River Run
Muppet Vision 3D
Silly Symphony Swings
_________
Schedule for Friday, February 8:
DISNEYLAND PARK: 9:00-11:00
Mickey's Soundsational Parade: 4:00pm, 6:30pm
Remember...Dreams Come True Fireworks: 8:40pm
Fantasmic!:
Jedi Training Academy: 10:30am, 11:35am, 12:40pm, 2:25pm, 3:30pm, 4:35pm
Mickey and the Magical Map: Not Scheduled
Billy Hill & the Hillbillies: 11:30am, 12:30pm, 2:30pm, 3:30pm, 4:30pm
The Laughing Stock Co.: 12:00pm,1:00pm,2:00pm,3:40pm,4:40pm,5:40pm
Tomorrowland Terrace Entertainment: The 80z All Stars (Check times guide for details)
Magic Morning Hours/Extra Magic Hour: Not Scheduled
Disneyland Park Events:
Disneyland Park Rehabs:
Mark Twain Riverboat
Big Thunder Mountain Railroad
Its a Small World
Splash Mountain
Mad Tea Party
DISNEY CALIFORNIA ADVENTURE: 9:00-10:00
Pixar Play Parade: 5:15pm
Disneys World of Color: 8:00pm, 9:15pm
Disney's Aladdin-A Musical Spectacular: 12:40pm, 2:20pm, 4:45pm, 6:20pm
Disney Junior - Live on Stage:
Phineas & Ferb's Rockin' Rollin' Dance Party: 10:30, 11:25am, 12:25, 2:45, 4:10pm
Extra Magic Hour: 8:00am - 9:00am
Disney California Adventure Events: Mad T Party 6:00pm - 10:00pm
Disney California Adventure Rehabs:
Grizzly River Run
Muppet Vision 3D
Silly Symphony Swings