You may want to consider seein gyour Dr. so the problenm can be diagnosed and see if medication will help. Wearing a pad to absorb the urine will help.
The first thing you can do is to visit your doctor or preferably a urologist. Urine dribbling if in males,are likely due to a prostate or bladder outlet obstruction.
To begin with start by wearing dark colored pants and cotton underwear, then shake it for a few minutes longer than you normally do while standing in front of the toilet or urinal and then wash your hands.
Urine dribble has an underlying medical reason. The best way to help the dribbling is to find and treat the cause (Urinary tract infection or benign prostate hyperplasia)