The best way to make "swallowing work" is by working with a Speech Language Pathologist (SLP). Despite their "title", they are also trained in swallowing exercises like these
swallowing exercises
There is an excellent diagnostic test to identify the nature and seriousness of your swallowing disorder : MBS
While your doctor has to order a Modified Barium Swallow (MBS)test, it's the SLP who usually administers it in conjunction with a radiology tech.
There is also VitalStim, an electrical "shock" treatment that has helped some posters.
My insurance covered all of the above for two years, then everyone said that with no improvement after two years, it was unlikely to work for me. I want to stress that this is NOT the usual outcome. Get an SLP appoinment as soon as you can - the doctor just writes dysphagia treatment/swallowing therapy on a prescription pad so insurance covers it.
Charm