Lots and lots of pattern possibilities, ranging from orthogonal to diagonal patterns. You are using rectangular-proportioned tiles, so if laid with the long dimension in the direction of travel or view, it will accelerate the long dimension of that space. For a non-directional tile, you should use a square shape, placed either orthogonally with the walls or diagonally. Both tiles seem to be modular, so you could also consider tile patterns, ie, border, herringbone, basket weave, etc. Choice depends on the style and character of the house. I would definitely work out the patterns for all open space areas and/or any major rooms where large areas of tile will be exposed and visible. Good luck with your project.

Although it looks intricate as hell, the herringbone is very simply, a brick joint pattern with every other tile turned on its side. Look at the pattern for a minute. You'll see that first the horizontal tiles look like steps, with each step being exactly a 1/2 tile advanced from the last. Then comes the vertical tiles doing the same thing. Then back to the horizontal tiles, and so on. Once you get going with it, it's really not as complicated as it looks. The only disadvantage is that your grout joint is predetermined by the tile size. If you lay two tiles longways side by side right next to a single tile cappling the ends of the two tiles, move the first two so their long edge is flush with either end of the capping tile. Whatever you have for a joint between the two tiles is what you're going to use for a grout joint throughout the floor. No ifs, ands, or buts.

Is there a functional reason for the offset? Installation-wise, due to the possibility of slight bowing of some 12x24 tiles along their length, a stacked (no offset) pattern will minimize any lippage due to the bowing. Example, if the tile is bowed a bit along its length "(", the highest part of the bow will be at midlength, 12" from the end of a 24" tile. If you did a 50% offset, then the highest part of the bow in one row would be next to the lowest part of the tiles in the adjacent rows, their ends. That's why for long 24" tile like yours, the maximum offset recommended is a 1/3rd offset. A straight stacked pattern would minimize the issue. An easy way to check for bowing is to take two tiles and put them together, glazed face to glazed face. Any bow in the tiles will indicate itself like this: )( Other than that, patterns are a personal choice. They lend to the style of the room, for example. Some patterns can add detail for a period look, others can be more linear for a modern look.

Agree with Patricia. You'll get better flow if you skip the herringbone hall and keep it one pattern. Sort of unusual to have the same tile in bathroom as in surrounding areas...you usually like a little definition to the bathroom. And 12X24 is reeeeally big for a bathroom floor tile-unless your bathroom is huge, the scale could look very odd. Just some considerations.