To transfer your country of residence driving permit to Ugandan - go to Face Technologies.
Their requirements are : be a resident or have a work permit, spouse / dependents passes qualify.
Your driving permit must be valid. (international driving permits do not apply)
Take copies of these with you
Complete some forms, pay URA fees and within a few days you will receive your Ugandan permit (valid for 2 years)
They do not retain your original permit
The renewal process is quicker
NB : be sure to indicate which licences you want i.e. motor car / motor cycle.
if you intend to tow a trailer - be certain to specify this. As a car with trailer licence is a difference licence category.