when is your due date? If you have to go to a hospital in Kampala I would go to Mulago. for finding a midwife I would email International Midwives assitacne who porvide the best care I have seen in Uganda, they work in the north but might be able to give you a name of somone in Kampala.
Or if nothing better can be aranged you can have a birth center birth at the Shanti Uganda birth house in Kasana,Luwero district, that is 1-2 hours from Kampala
for the chacne that you do end up in a hospital I would make sure to bring with you all the nescusery supplies including gloves, pitocin and even a sterile birth kit. the staff may be very skilled but supplies are not always available. you can buy the supplies in Kampala, no problem.
feel free to be in touch with any queations.
Uganda is magnificent!