Forget a kango, you would be there for weeks. Garage bases are too much even for a compressor and breaker.
Hire an excavator and driver with a breaker attachment. A good driver would have that lot out in a day and a day to load to skips.
If the concrete buts up against your house, then either with a stihl saw or floor saw, cut a channel as close as you can to seperate the main slab from the bit against the house.
Have a word with a local tipper company. If its just broken concrete coming out they will do you a good price to take it away as they will crush it and recycle it. However, you will need a bigger machine to load, something like a 5 tonner.
Skips will cost you a fortune as broken concrete bulks right up and takes up loads of space.
Look to pay a hire company around £20 / hr for the machine and driver and £50 for the breaker. 3t excavator should do it.