Here's an idea for that back area. This is a cute fire pit but not totally what I had in mind.
Nice and tidy bed - with mulch - something we definitely need to add to your garden.
Modern Firepits - $5,900
this looks like gel fuel
Modern Firepits - $3,250
natural gas or liquid propane
Grand Effects One Bowl 30" Essex Fire Bowl System
if you're interested in colour
Rectangle Pagoda Patio Fireplace - $150.12
this is something to consider - real fire but it can't get high. our friend's have something similar on their deck and its great.
Deeco DM-0039-IA-C Aztec Allure Cast Iron Pizza Oven Chiminea - $540
I don't know if we could get something like this in Canada - but you did ask about cooking!
just to show you something a little more formal