Squeaking and your name goes together!! Leasing works well for business, in that you can write off your lease payments as a tax deduction if the vehicle is used for the business. At the end of the lease you have the option of buying out the vehicle with a set amount agreed to in the original lease contract, or you simply give the vehicle back and lease a new vehicle on a new contract. Hire purchase is the use of finance, quite often at a higher rate of interest than a personal loan from a bank, where you simply pay off the vehicle over an agreed period of time, usually at set monthly payments. When you have paid off the finance company over time, the vehicle is yours. Pretty much the same as a personal loan type arrangement - different source of finance, that's all.
Hope that helps a little. You guessed right!!