Smoking although clearly a good idea to stop does of course have withdrawal symptoms and also in noting why people with schizophrenia often smoked scientists are studying a new generation of antipsychotics based on the effects of nicotine (without the harmful effects). Clinical findings aside stopping smoking is rough for anyone so you can expect things to be difficult for a while and for standard symptoms from bipolar to worsen for a while. If you need any smoking cessation aides to help you can speak to your psychiatrist or doctor about it. As well they can adjust medications in the meantime so things are more stable if symptoms return.
I quit smoking on Aug. 6th, and for 3 days after that, I was manic. I must have walked 10 miles in those 3 days. I kept telling myself that I just wanted to get healthy, but now that I think about it, I really had an episode. I cleaned alot, too. Anyway, I've had probably 10 cigarettes all month, and not one for 3 days now. So, what I'm saying is it's normal to feel 'not yourself' when you quit. We're just a little more extreme than others because of the bi-polar. I hope you're doing well at quitting and good luck!