I would recomend against the Lee Turret for starters. It might speed you up from 50 rounds an hour to 100 rounds an hour, but it is extra money and complications you don't want at the learning stage.
I would recomend hanloading for the 44 mag and 45 Colt to save money.
The Lee brand is the fastest way to save money.
To handload 44 magnum you will need:
1) brass, new or fired any brand $24/100
2) Large pistol primers any brand $15/1000, buy at the gun store to avoid hazardous materials shipping charges
3) Pistol powder H110 for heavy loads, Unique for light loads, $20/ pound, buy at the gun store to avoid hazardous materials shipping charges.
4) .429" Bullets, hard cast may be cheaper, but you may need jacketed for indoor ranges $10/100
5) Die set, Get the Lee 44 mag Carbide Pistol Die set 90512 $33 retail, $25 discount :
..a) Carbide [no lube required] sizer die with decapping pin
..b) Expander die, opens the case mouth so a bullet can be seated
..c) Seater die so the bullet can be seated, and later in a different step with a different adjustment, crimps the mouth of the case into the canalure ring of the bullet
..d) Shell holder
..e) powder measuring cup
..f) some load data
..g) instructions
6) Loading press. The cheapest is a Lee Reloader Press 90045 $29 retail, $20 discounted
7) Lee Auto Prime II 90107 $19 retail, $12 discount
So if you have saved you fired cases, you could be handloading 44 mag for $102 + shipping or taxes
If you like this,you can add later:
1) Another fancier press
2) Powder Measure with a crank handle
3) Powder weighing scale
4) Load book
5) Turret press
To shoot 45 Colt you aslo need specal:
1) 45 Colt brass cases $24/100
4) .452" bullets $10/100
6) Lee 45Colt carbide die set 90533 $33 retail, $25 discount
So if you saved your 45C empties that is another $35 to add on 45 Colt
In order for this to pay for itself, at 30 cents factory and 15 cents hand load, you will have to load 600 rounds.
If you fire 200 rounds/ year, it is not worth it for the money for 3 years.
It will, however, get you more accuracy and tune the right amount of kick.
24 gr H110 240 gr JHP kicks just right for me in 44 mag.
24 gr H110 250 gr JHP kicks just right for me in 45 Colt
6 gr Unique 300 gr cast kicks just right for my brother in 45 Colt.