Usually brokered CDs are insured by the FDIC upto $250,000 per individual at each bank. Just make sure the insurance relates to the issuing bank rather than from any broker.
Minimum deposit, bank's reputation, interest rates, maturity dates and early withdrawal penalties you need to keep in mind while choosing the suitable CD for yourself.
You should avoid foreign broken CDs, as these are not FDIC insured, but still, if you want to take them, then carefully investigate the reputation and financial condition of that bank.