First check to see if you are alergic to your bedding.  It may be something as simple as getting new sheets if you are alergic to the dies used in coloring your sheets. 

If you have seen the bugs, then try a commercial product.  They are not cheap.  Long ago DDT used to be used for this purpose.  I don't know if it is still available.

There is no easy way to kill bedbugs.  They are as prolific as cockroaches.

Depending on the level of infestation, it may be impossible to get rid of all of them entirely.

Here is some information found after searching  Kill Bedbugs.

http://jannosreviews.com/topbedbugproducts.htm