you feel a bit strange for a couple of daysErr, no. It's fucking horrible. Like most people, I tried to quit many times, usually cold turkey, so multiply your 2-3 days figure by 10 (which I think is roughly the average number of attempts before success). That's a month of your life. A friend from the UK described it as follows: "I feel like I want to climb a tower with a sniper rifle and shoot small children." I think that's accurate.
Besides, the insidious part is that you see it everywhere ... shops, bars, the street, movies ... withdrawl upsets your sleeping so you are awake at night to go out ... you feel you can 'just have one' .. it is usually prevalent in a social scene ... you drink .. you associate it with drinking .. you lose your reason with the alcohol which compounds the sense of 'just have one' ... you want a break from work and you associate it with a smoke .. other people are smoking ..
It's really hard to avoid. Not like heroin, which is hard to run in to by accident. (I also know of multiple people who have quit both and they said cigarettes were harder. Not physically, but overall.)