How to make a good, precise PCB at home, at acceptable cost? What kind of tools, chemistry etc do I need, other than in "normal" PCB?

You can't do that at home! There are experts who can do it for you. Route your layout by the help of a PCB software and give the ready layout file to an manufacturer of PCB.

Have a look at

http://www.pcb-pool.com

for instance.

Good luck,
Kai