I get annoyed really easily by stupid things like typing and gum chewing?!

I get annoyed really easily by stupid things like typing and gum chewing?

Should I see a hypnotist to get rid of these annoying traits of mine?

Only if it bothers you so much that you are causing yourself real distress in your life.
If this is just a pet peeve of yours then don't sweat it too much.
In fact I happen to dislike it when people smack their chewing gum or I can hear people chew with their mouths open,I find it a bit gross and I think many other people find it rude as well. I would venture a guess that most people have one or more pet peeves. But most of us forget it soon after.
So, like I said, unless you can't seem to get it out of your head after said gum chewer or typist is done and you are inordinately upset by these things, and it stops your daily activities somehow, you are probably fine.
You might try 'blocking out' these annoyances by counting to ten (or twenty or whatever) and thinking of something pleasant when you get irked.