Everybody's different, but when we used to take out beginners, we always used to say aim to be able to talk , but not sing, so you have the pace right. When you're more experienced, you can add in work which involves really hard breathing when you do fartlek (speed play) training. However, in the early days, slower is best. If you're struggling with breathing, you probably need to go a bit slower (nothing wrong with walking to one lamppost, jogging to the next, etc).
Also, gradually add in a little variety eg one day do less distance, but a little faster. The next, go noticeably slower than before, but aim to add on a few more minutes.
I know some people found certain music tracks used to help keep their breathing steady, but it never worked for me. I found the best solution was a running buddy, as we wanted to chat and that slowed us down and kept our breathing more steady!
One of the biggest dangers when you start running is doing too much too soon and getting injured, so don't over do it. Make sure you balance your running with some form of cross training such a swimming or cycling (even a spinning class - great to improve your breathing) - and always do some form of stretching. Lots of my running friends do Pilates or Body Balance once a week just to avoid injuries.
Good luck x