Good question 
First phase - stabilization (the dvd covers all the exercises) Can be used for the beginning (AA phase to some) or throughout the year or as “maintenance”. I would suggest in good/better/best order:
For squat, walking lunge, clock lunge: (body weight) - dumbells/ bar w/plates/ weighted vest (if low load)
For push & pull: (pushups & pullups) or other using bands (med to heavy)/ dumbells / cable
Swim stroke & reverse: bands (lt to med)/ cable
Back curl - eventually you can use light dumbells
Crunches - stability ball
Crab walk - band (med to heavy)/ adj band “lateral resistor” w/velcro “cuffs”
Plank - ball
Runningman - bands ((lt to med)/ cable w/cuff attachment
In the Max strength phase you will lift a bit heavier so a bar and dumbells are nice. I get a bit nervous when people do this phase by themselves at home so I usually suggest a gym membership. Also, bars, plates and a rack can be costly.
So, for $750 I would buy (I always buy from Perform Better so I will post the link):
3 Bands = $43- light, med & heavy - levels 3, 6, 9 (PB has a buy 3 get level 3 free so if u order from them get levels 5,7,9 and the 3 is free)http://www.performbetter.com/detail.aspx_Q_ID_E_4106_A_CategoryID_E_281
Stability ball = $27 for 55 cm (depends on height) http://www.performbetter.com/detail.aspx_Q_ID_E_3538_A_CategoryID_E_397
You could do all the exercises with the above = $70
or add:
Adj lateral resistor (band) = $30 http://www.performbetter.com/detail.aspx_Q_ID_E_4174_A_CategoryID_E_327
Adj dumbells = $279 - up to 30 lbs (shop around)http://www.performbetter.com/detail.aspx_Q_ID_E_3882_A_CategoryID_E_351
or old fashioned hex = $140 for 7 pairs of 5 lbs - 30 lbs
Weight vest = $85 for 20 lb vest http://www.performbetter.com/SearchResult.aspx_Q_CategoryID_E_375
I am not really into all the balance boards since I believe you can get as much stability training just working on one leg then progress to maybe on only the ball of the foot, add weight, etc.
Cable stacks & larger free weights I suggest buying used quality or just go to the gym. I just can’t recommend buying the Total Gym - sorry. And I love the reps - see them every winter. Just can’t buy into doing some stuff on your bum and some stuff off. I like to save time. Be as specific to the movements as possible. The dvd goes over each exercise - why it’s recommended, variations and progressions. I can’t think of one that the Total Gym would be best for.
So, I want to hear back from you every 2 weeks 
Good luck and thanks for asking.