I can't agree with most of this advice, sorry. Frankly, if you followed it you would be at risk for a major case of over-training resulting in joint pain/damage and slow muscular development.
Training to failure is more of an advanced technique- not for someone just starting off, and certainly not to be employed 3 days a week on the same body part as suggested! The gains from training to failure would also require an increase in calories- mostly from clean protein.
Take your time- big guns are the result of a lifestyle, not acheived quickly.
No need for fancy equipment, use your dumbells.
First 2 months:
Bicep: Start with basic standing curls, and hammer curls. Nice slow movements, focusing on form, not weight. Contract the bicep at the top.
Tricep: Close "grip" pushup, and tricep kick-backs.
3 sets of 15,12,10 of each of these exercises. Do this every 5 days. Add a little weight each time after the first few sessions.
After a couple of months you'll find that your arms are stronger, firmer, and even a little bigger. More importantly, your joints are ready for increased weight and your brain is ready for some variety.
I like compound movements like dips, pull-ups, chin-ups. Again- no fancy equipment. You'll start to use your back and shoulders for these movements while still slamming your arms. You can then use your dumbells for "finishing" movements to exhaust the arms.
Now you're ready to work to failure, but I would still only do 3 exercises at the most for each muscle group. A good mass program would construct the sets like 10,8,6 -you would fail on 6. Again, to lift for mass without the diet to match doesn't make sense. You're ripping the muscle fibers without the proper amount of protein to rebuild.
Stick to a moderate weight training program for now- you'll see the results. When you're feeling stronger and you've done your homework you can start adding protein and advance your program. Patience.
Then you can pose in front of roads named after you like I do. Ha!
