A: Well, unfortunately, the police can't give you a certificate of "good" character. All they do is give you a certificate of character; good or bad depends on your previous course of dealings.
1. Visit your local police station with valid T&T* identification and $50 TTD
2. The officer would record your details and take your fingerprints
3. Make sure you get your receipt
4. You must carry receipt and identification to collect the certificate
AVOID Central Police Station on St. Vincent Street, POS because it'll be at least 2 weeks before you get it done. The average wait time is about 3-4 days. Of course, like anything else in T&T, if you know a senior police officer, you'll get it the same day or next morning. ;-)
*Foreign nationals follow a different process