SFGate

TanCalGal Click here: Ideabook: How to Set Up a Kitchen Work Triangle

Click here: Ideabook: Determine the Right Appliance Layout for Your Kitchen


Click here: Ideabook: Kitchen Solution: The Main Sink in the Island

A. Peltier Interiors I think if you have room, turn the island. It looks a little funny the way it is currently oriented....

smldesigns If I understand where the sink is, I would turn the island and make the island much larger without room for stools - maybe a wine rack or wine fridge in it. If you can, you could always put your stove top or sink in the island. If you keep the same layout, you already have stools at the peninsula.

cghdesign Looks like sink is to the left in the picture and you have an extra peninsula space. Remove the peninsula and turn the island. Make it much larger/longer with barstool overhand to both the current peninsula side and right side (exterior door side).

mveasey Most kitchen places offer design services,even if you "build" it yourself. Traffic flow in the kitchen is something very important! Maybe I'm rambling here but lots to consider...please excuse this part if you have already thought about these things:
How many exits/entries into the room.
How do you use the kitchen the most?
How big is the family(seating everybody comfortably for certain tasks)?
How much storage and where (eg. Breakfast area where the coffemaker and toaster sit, plus mugs ,etc), by the way: drawers are more convenient and efficient than cupboards.
You have the benefit of a large kitchen, so lots of options!
It is a little difficult to give ideas without a floorplan or more photos, but here are a few options:
I would take out the little bar on the left and perhaps enlarge the middle island downward (rectangular) to match the proportions of the room and give you more space at your stove, but be careful not to obstruct major traffic paths.
I would keep the orientation of the cooktop,because otherwise you'll be back to back with another person at the sink.
I personally would have some sort of seating in a larger island, not necessarily bar-height, just regular counter height overhang, or simply no cabinets at one spot, so you can push some stools or counter-height barstools underneath.
Common sense tells you, you'll save money by not moving plumbing and electrical outlets, so keeping the sink, cooktop where they are will make financial room for a nice splashback or lighting, a new appliance, etc.
Other question: where is your fridge?
I'll attach a few photos of one kitchen I found, with a more tropical flair and a built in cooktop, but lots of options and advice under photos and Ideabooks here on Houzz
Best of luck from Canada!