My mom said she got an installation only quote to do her enclosed patio of 200 square feet, for 4,000 dollars. This was a contractor who did previous work on the house. I told her to tell them to *!@# off. 20 bucks a square foot and no cuts! I assume they did not want the job. This is a ground level job in the summer, and I would assume that maybe 1500 would be in the ballpark. So I told her I would do it for her. I have never done a tile over concrete, but I am confident I tile as well as most guys who do this for a living. Just a lot slower. I have spent a lot of time on this site and have learned a lot. I have done a few bathrooms and other floors, but is there anything unique I need to worry about for tiling over concrete in a space that is not temperature regulated. Here is the room

Do I need any isolation membrane or can I just use a good modified thinset directly on the concrete? The plan would be 18x18 or 12&24 The surface is crack free and in excellent condition. Would you grout up to the walls or use a caulk?
Also how would you recommend finishing this off at the doorways. Currently there is nice brickwork at the doorway, but maybe that gets covered up. I could do some kind of Schluter transition to either keep the brick or go to the end of the brick.
Any advice would be appreciated. Thanks.