Hi Karla. What type of climate do you live in?

FL , always summer 😄 lots of rain

Really nice space. If only because there is lots of rain (-- and because I'm prejudiced in favor of usable porches --), I'll suggest that you at least consider creating a full width back porch on the slab rather than chopping it up into covered/uncovered and protected/unprotected from sun and rain. You could add skylights in the roof to let the light in -- tinted or not and located where you want them to let the house continue to get light via the downstairs windows. You could have the porch roof attach to the house just below the upstairs windows and not need to alter the bay window at all.

With the porch you'd have posts ( thicker/thinner or round/square -- to your liking) onto which you could solar lights and/or brackets for hanging baskets of flowers and/or strawberries ... (or a basket ball goal) -- and the style of porch and posts you choose would enable you to make the style of this much used family space very much your own.

If you do create a back porch, you could even build in a "gazebo" within that right end of the porch to define a separate seating area: (third pic):

https://www.thisoldhouse.com/yards/21015401/building-a-great-gazebo

https://youtu.be/yh0ZL-PwsMQ

This link to our patio and lawn is for conceptual ideas. This represents 25 years.

You have a space with much potential. And your patio is already generous. With a FL climate your year-‘round usage will far exceed ours in the upper Midwest. For reference our patio is 24x26 with an 8x12 privacy space where once was a hot tub.

Appears that you already have a covered space for dining or conversation. Consider what is missing to fulfill your relaxing and entertainment wishes, then allocate space and aquire necessary furnishings.

Landscaping will add charm to surroundings. Enguage a nursery or landscaper to develop a plan following your wishes. That way selection and placement of plantings will enable them to thrive in the soil and sunlight.

Good luck.

Some idea that I like

Lemont Landscaping · More Info