All three methods will give you great improvements in size and strength.
EDT will give you more size than strength.
10 x 3 will give you more strength than size.
Total-Body Training should give you a good balance of the two.
How have you been training for the last 1-2 months, volume-wise?
Does it look like 4 sets of 8-12? 5 sets of 5? Generally, you should alternate high-volume, medium intensity (ex; traditional hypertrophy training, EDT, German Volume Training, or Russian Bear Training) with medium to low volume, high-intensity (5x5, 10x3, 8x1) if strength and size are your goal.
You probably already know this, but... The high-volume, medium-intensity 1-2 month phases build up muscle size by growing new fibers while the 1-2 month low-volume, high-intensity increase the new muscle fibers' ability to handle higher loads through nervous system factors.
That way, when you go back to the high-vol, med-int hypertrophy training for another 1-2 months, you can use, fatigue, and thus stimulate growth in a greater number of muscle fibers.
Alternating these two methods also keeps your gains in both at the beginning of the "diminishing returns" curve and keeps you motivated because your gains are always good to great.