I've never installed harwood but I'm fairly competent and would like some tips for starting. From one end of the room to the next I am out by 3/4". I currently have my outside wall ripped out replacing the plaster with drywall. I can build the wall out so it brings the room into square - is this something I should do? I also have a 4 foot entrance into the room that will meat a "schluter" and slate tile. I am going to lay a piece of hardwood parallel with the schluter and that but my boards up to this. The schluter will be out of square if I shim the wall to make it parallel the other wall. Any suggestions, or is this confusing?

I usually will try to compensate a little at the 4' opening. A 1/16" difference in 4' is not real noticeable and will bring you back more in square way out in the floor. Once the room is trimmed out and the furniture is back in it is rarely noticeable.

Leaving a gap between the header board and the Schluter metal and then filling that with a color matched grout caulk looks very nice. The gap width could match your grout joints.

Hey Jerry - when you say leave a gap between the header board and the Schluter, are you referring to the 1/16" difference that you mentioned?

The 1/16" was a hypothetical number that would be included in the gap spacing. I try to make adjustments at doorways when at all possible. Another way is to rip the header board with a taper jig so the gap would be uniform in size but still allows you to straighten the floor up a little. The tapered cut would face the Schluter trim.