I agree with Josh, weighted pull-ups are an awesome exercise. Along with those for biceps you should do incline DB curls and Cross Body Hammer Curls.
For Triceps hit Close Grip Bench Press, Dips, and Skull Crushers.
For the skull crushers you want to do them a special way or there really is not much point in doing them when you do the other 2. What you want to do is get your head on the edge/slightly hanging off of the bench and when you bring the bar down bring it so it comes down behind your head. What this does is it hits the long head of the triceps hard and that is the biggest part of the triceps.
For a training split
M Do the full arms routine.
T Start your workout off with light dips and pullups to get a pump in your arms then continue on to Squats
W Do the full arms routine.
T Start your workout off with light dips and pullups to get a pump in your arms then continue on to Deadlifts
F Do the full arms routine.
S Start your workout off with light dips and pullups to get a pump in your arms then continue on to Squats
S Rest day, but if you can get in some light dips and pullups on this day too then do it.
You should not worry about hitting chest or lats during this time because the arms and deadlift work will work them enough.
Work in the 5-6 reps range for the Close Grip Bench Press and Pull-ups on the arms day.
Work in the 7-10 reps range for the Dips and Cross Body Hammer Curls on the arms day.
Work in the 10-15 reps range for the Skull Crushers and Incline DB curls on the arms day.
You can always play around with that by going heavy so that to get into the rep range you hit failure, when doing this only do 3-5 sets on each exercise.
You can also go light and get into that range without much problem, when doing this you can do 5-10 sets on each exercise.
For the days when you just do pullups and dips you do not want to get close to failure at all.
Good luck!