The best training you can do to prepare for your mount Kilimanjaro climb is hiking. Running, swimming and cycling are all very good exercises but what you will be doing on Kilimanjaro is hiking.
You will need to condition your body to walk in ascension, over uneven terrain for long periods. Ideally, go hiking in the highest mountains in your area to experience the effect of increased altitudes.
If you live in a city or somewhere flat, taking stairs instead of elevators and targeted muscle exercises are excellent practice that can also help you prepare.