Nowadays it is very common that many people suffer from urination drop. You need not worry. Do istibra after urination, i.e. make sure that drops are no longer falling though it takes longer time for you to urinate. Hence Shariah asks to do it so that one’s doubt is removed regarding the drops. You may use tissue paper or clay clod for urinating.
Allah knows Best!
Darul Uloom Deoband