Hi D and D
if it helps, run back through my old posts re. Uganda and its highlights (i think just click on my name and then you can read them). I invest a lot of time in this forum from my time living in Uganda and there might be some snippets of information in there that you can pick up.
I dont know what your budget and requirements are as a couple visiting Uganda, but if you head to somewhere like Kampala Backpackers or Red Chili (both in Kampala - you dont have to stay there, just go for a beer and ask the question) you will probably find other travellers willing to share the costs of getting a car although this is by no means guaranteed. though you will definitely be able to to at least get some money off people who perhaps just want to go to the same first destination as yourselves (say, for example Fort Portal) and then repeat the process when you get there. I know this is not ideal but every little might help.
Rwanda might be more difficult as there are less tourists but it is also a much smaller country with fewer landmarks, so anyone you do meet will be more likely to be going the same way as you and able to share the car. I personally would skip Rwanda as Uganda has more than enough to offer and you will arrive at somewhere like Lake Bunyonyi and decide to stay for some time!! (IF the weather is good! i froze there once!)
Please PM me if you need any help with anything