I used to have my own cafe - Bought most of my equipment from an auction in one hit from a cafe that had gone bust - full hobart gas range and oven, griddle and deep fryer. Then scoured ebay about got a decent espresso machine for £900 refurbished and a slush machine for about £600.
Brand new with warranty is great if you have guaranteed custom and turnover - but you can set up for so much less than the brand new price if you're trying to do it on a budget. The last kitchen I worked in bought everything brand new from Nisbets and it was so easy - but they had deep pockets and an already established business with a good turnover.
The mark up on slush makes those machines worth their weight in gold though - mine paid itself off in about a month! Same with the coffee machine.