Why a tube?
You can get a good pre-amp by using an op-amp, little 8 pin IC. Toss in a couple Transistor style voltage regulators (plus and minus) and that should set you up. All these should be readily available at any Radio Shack.
1.If you insist on a tube design, I would start with just a metal plate inbetween the transformers and the tube, with it being just a pre-amp, you shouldn't be drawing a lot of current (the more, the current draw, the larger the magnetic field from the transformers will be).
2. I wouldn't worry about the distance, being a pre-amp.
3. Unless you're talking about some real exotic frequency use, then you should be fine with any old wire.
Off the top of my head, been along time since i've thought about circuit design.