Having looked into these shoes that Frizzbomb67 asked about, I decided to order the support version, Brookes Launch GTS. They arrived quickly, and included a free pair of running socks!
When I first tried them on I thought they were awful, really stiff and solid, like putting a cardboard box on my feet. I was certain I would return them, but just tried them on one more time the next day, and they felt fine!
I currently run in Brooks Adrenaline, so I put one of each on my feet, and couldn't tell much difference, except the Launch is more sloped at the front. I imagine it will propel you forward somewhat!
I bought these just for everyday walking shoes, to wear with jeans and casual stuff, but now I think I might actually take them out for a little run and see how they are!
I didn't like the fluorescent yellow laces, so changed them for white ones, I'll certainly be keeping these.