Akira,
I'm still struggling with this myself. So I sympathize with you. Someone on this site once suggested distracting yourself when you eat (watch TV, read, go on this site, whatever). This might be helpful when you are alone.
Like lifting weights, you should start out small and build your muscles up. In our case it is building our confidence up. During times when my choking phobia is bad I am completely freaked out by big meals. So I eat small. There is something pschogolgical to clearing one's plate. One time I ate 3 bowls of cereal from my son's toddler bowl. After the first bowl I was relieved, but still hungry so some minutes later I had another bowl, and so on. Eventually I realized I had a normal size bowl.
Let your so called safe foods (those foods you feel you cannot choke on) build you up to bigger meals. A kids size bowl of cerael, pudding, apple sauce. If you build yourself up to eating a plate of i.e. mashed potatoes (tell yourself it's physically impossible to choke on mashed potatoes, unless there's hellacious lumps in it), then next time add a small portion of something else. What I also do when I am really anxious is after I eat a meal (even a small one) I write it down, then confront myself (self talk Example: "Junior, You ate 10 chips, one piece of chicken and you did not choke!!)
Focus on chewing, not swallowing. Being able to tell yourself, " I chewed this piece of meat 30 times, so it's physically impossible to choke on it". Granted for me this only works on chicken and fish.
Going to your doctor (GP), or a ear nose and throat doctor, or some other specialist is also a good idea to rule out any physical problem. Then once you get the news that it's anxiety you can add that to your armour of recovery by challenging yourself to say, "Wait I'm fine, there's no physical reason for this. Some years ago I once had a barrium X ray. The doctor took me step by step to show me why there was nothing stuck in my throat or nothing wrong with my swallowing process. Seeing the size of the esaphagus also helped to convince me that as obsessed as I was about chewing my food good or eating soft and tender foods and meats I was living a almost choke free lifestyle.
I hope some of this helps. Lord, knows I still ne