Chester111472,
Monrad is right on... Personally I prefer Aber PE sets as they seem a little more refined if not overly so. I have the set for the early Tiger and it is very complete including engine screens and all tool clamps...
Tracks are more personal choice. Either Fruil or MK are wonderful. There is a new company out there WWII productions that makes resin tracks that are workable and click together but they are sold out of Austraila by mail order. I have heard nothing but great things about them. Not sure if they have a tiger I set yet might be worth checking into though.
Several companies make AM barrels, Eduard, Aber, Jordio Rubio. Make sure it made for your kit though and not say the Academy offering... I have used Eduard barrels and they are awsome (one piece turned aluminum....)
If you really want to go Ape____ then get the tow cables from Karaya. They are awsome and VERY realistic but a little pricy....
The list literally goes on and on...
Personally I am not that fond of PE zimmerit. It seems too flat and uniform. Check out Cavalier resin Zimmert.
You should get the two part article from FSM last year when Bob Collignon built a Late Tiger I with all the bells and whistles.... Its a FANTASTIC article... One can't add much more than he did to his...
Good luck chief....
Oh one more thing... AM parts ain't cheap as monrad touched on. The tank in my sig below started as a 17$ Dragon kit and reached nearly 150 bucks with the add ons....
Beware of AMS (Advanced Modelers Syndrome)