7 MM laminate transitions to tile and around patio door

I am starting to prepare to put down 450 sq ft of 7MM flooring. I have a back room with a patio door that has an aluminum frame. The subfloor is all concrete. I can't use a T molding around the door frame as the floor is higher than the metal. How do I attach a reducer to the concrete? Also, there is a slight difference between the tile and laminate in height. Should I use a reducer or T Molding? Can I put something under the laminate as a slight shim to increase the height or would this cause the flooring to break? Also, the length of the trim is too short around the tile so I would have to use two pieces. How do I connect them? Do I just glue them together like | or do I need to cut on a 45 degree angle ? Are there any other alternatives to these transitions with laminate flooring? The trims are not well made although they sell with the flooring. I would really prefer wood and just stain it darker to match.