Pleas post a floor plan and some more info on the rest of the first floor. It's impossible to do more than guess randomly based on that photo. Is that the dining room on the other side? Do you mean you want to make an eat-in kitchen instead?

If you don't have a floor plan, then you'll need to get out your tape measure, pencil, ruler and graph paper and make one. It's not hard to do and you'll get much better advice once you've posted one.

At 1st glance that wall looks like it has several electrical things in it & may cost more to move.

Is it a support wall?

While you've got your measuring tape and graph paper out, you should draw up the entire floor of the house that the kitchen is on. You'll get much, much better kitchen layout suggestions if we can see the kitchen in the context of the rest of the house and consider traffic patterns to/from the kitchen, relationships to other rooms, views (of other rooms or the outdoors), etc.

you have around 14 feet across back stove wall and the fridge and sink wall, and ample area in foreground to work with. Leave the wall intact.

I would also not want the side and back edge of the refrigerator exposed if it is staying there.

Now that you've shown us more, I would say keep the wall.

Cute little photobomber, BTW.