Lots of potential especially since you're willing to change the desk, extra table etc -- but everyone's going to ask for a measured floor plan :-)

You need a measured 2D floor plan for us to help you with every door and window with measurements and where they lead to.

If you are going to do all that work there may be ways to reconfigure the floor plan to make sense of it all so please add a floorplan.

Is that a powder room behind the stove? Could you square off the stove wall so the stove fits better? And I would do a pantry wall where the desk is. Is there room for a bigger island?

Definitely post a measured floor plan, with adjacent rooms marked. But first impressions are that there are a lot of doorways which increase traffic into the kitchen. The corner stove is not optimal (as you already know), the island looks small and not particularly useful. Good idea to replace the desk with either a coffee bar or a pantry. The good news is that it looks like a fairly large space, but it's very chopped up. You're going to have to make some compromises to improve the layout.

Without a to scale detailed floor plan there is no way to offwr rel help. The budget will drive this. You do know the flors will need to be addressed If you want the kitchen to be extended into the eating area then removing the patio door will porbably be the nest item. Post the plann here in a comment. Show every window , doorway where those doorways lead, where the plumbing is if not easily changed . The size of the appliances you want in the space all meausrements clearly marked Do not start another post every pic , plan and question and answer stays in this post .