fasterback

I’m in the market for a new crankset and I have a question about compatibility.
First off I just purchased a used 52 cm trek 1000 frame. My plan is to transfer most of the parts off of my old road bike onto the new frame.

I would like to purchase a new crank and bottom bracket for the new Trek but I need to make sure that it:

1.) Fits the Frame
2.) Is compatible with my old parts (mainly the rear derailleur and chain)
Here are the specs of the old frame.

Crankset TruVativ Touro 52-42-30 Cr-Mo chainrings
Bottom Bracket FSA Sealed Cartridge square taper 68 x 113
Front Derailleur Shimano FD-2203 31.8 down-pull
Rear Derailleur Shimano RD-2200
Shifters Shimano Sora STI
Freewheel SRAM 8-speed 12-26
Chain Shimano HG-50

Drivetrain
Shifters Shimano Sora STI, 8 speed
Front Derailleur Shimano 2203
Rear Derailleur Shimano Tiagra
Crank Bontrager Sport 52/42/30
Cassette SRAM 850 12-26, 8 speed

I’d like to keep this as inexpensive as possible. What “entry level” crank and bottom bracket would you all recommend?

Thanks in advance for your replies!

Fasterback

BTW the frame is a 2006 and it's orange.