as na architect I wanted to fully satisfy all your desires. The most important task was to locate the small cabana. According to me, the best place is between the Pool equipment shed and the pool. The material used for the cabana is cedar. The stone patio is made of limestone which is beautiful, hardy and easy to maintain. The BBQ is located next to the kitchen door under a beautiful pergola with wisteria.
The privacy of the Hot Tub is provided by a new wooden door which hides the view from the street. I am happy to say that the beautiful view would not be corrupted. Around the fire pit you have a curved bench and two comfortable couches for relaxing and enjoying the wonderful nature.
I am happy to say that the beautiful view would not be corrupted. I do not want to remove neither of the plants and trees, I propose to add 3 rose ( flowers that you like) parterres. After lunch or a tough working day would be a pleasure for you or your gests to lie at hammocks and the swings in the backyard. You will have plenty of space for kids to play soccer or just run around.
Additional fire torches would be a nice accent, especially at night. If you desire you can put downlights at the patio around the pool.
I sincerely hope you like the proposed project and I am ready to respond to all your questions.
All the best and good luck !