Processing times varies by state and it also depends if you file by mail or e-file. E-filing is definitely faster for federal and state returns.
Once you have filed you can check the status of your state refund by following the directions here : https://ttlc.intuit.com/community/refund-status/help/how-do-i-track-my-state-refund/00/25571
You can check the status of your federal refund here : https://www.irs.gov/refunds or using the irs2go app available from the apple app store or google play.