"The problem is wich company should I send this? How?
Do some research (e.g., on google, thomasnet, or through another resource), and identify companies that are likely to build things like your invention. Call them and explain (in general terms) what you are looking for. If they can' help you, ask if they know any companies that specialize in what you are looking to have done. Wash, rinse repeat. Eventually, you will find what you are looking for. It might take some time, but you will get there.
"Where?"
Location (of fabrication) depends on a number of factors, including cost, quality, and incidental risks such as theft of IP. Chinese companies are an obvious choice as to cost, but quality and IP theft are a concern. Both of those issues can me minimized with appropriate contracts and oversight.
"I mean we are a small company but we don't have enough presupposition to buy the machines and all that.'
Not to worry. All the major electonics companies in the world were, at one point, in the same position you are now. Apple, Intel, Sony, etc. were not always multinational giants. What you need are contacts in the industry. You can get those in a couple of ways.
1. Contacting as many folks in the industry yourself and asking for help; 2) contacting a company that specializes in product development, and asking them for some guidance; or 3) hiring a consultant that specializes in prototype development in a particular country of interest. Numerous other ways are available. Don't overthink "how" to do something at this point. Make some calls and ask for help. Just don't "open the kimino" (so to speak) and show all of your goods to anyone, until you have at least a valid confidentiality agreement in place. And if you start dealing with companies in countries that have a flexible interpretation of "property," make sure you work with someone who clearly understands the pitfalls and customs in that jurisdiction.
EDIT: Some companies you might want to try calling:
http://www.thomasnet.com/products/electronic-prototypes-63752000-1.html
EDIT2:
Consultants who specialize in Chinese protoyping:
http://www.china2west.com/services/index.php?id=4&gclid=CKTv74-nyKMCFeoD5QodWw4_wA
http://www.star-prototype-china.com/#/rapid-prototyping/4522345495
Chinese LCD fabrication companies:
http://www.pcbsino.org/tech_files3/H51-LCD-Display-LCD-PC.htm
http://www.orientdisplay.com/lcd-manufacturer.html