Here's the patio and patio cover I put in two years ago. It's not attached to the house, it's just supported by the four 6x6 treated wood posts in concrete piers. The roof (12' x 14') is a simple metal concealed-fastener type (snap-down) shed roof on treated plywood sheathing. The patio itself approx 20' x 12' plus a walkway) is dry-laid brick pavers with polymeric sand swept into the joints (all laid over a crushed stone base, then sand). I built it myself, and the cost was limited to the materials and the rented skid-steer loader and plate compactor. It's been through two winters and some storms and so far it has stayed up and there aren't any signs of frost heave issues, etc (but the winters have been mild).
Beryl, it's not at all what you have in mind--you'll be able to use your space for a longer period every year. But it's been good for us--nice to sit out and watch the wildlife in mild spring and autumn days, and even in the hottest part of the summer the mornings here are pleasant. It's not big, but there's room for the hanging "porch swing" and some aluminum patio furniture. It was a fun project, and--like all of them--took longer than I'd planned.