Maybe only one of your ovaries is functioning, due to the cysts. That way, you'd have every other cycle, so 6/year. If that's the case, conception should still be possible when it is the functioning ovary's turn to release an egg. I hope for your sake, that is the case. good luck w/ everything.
Now that you and DH are TTC, you need to talk to your GYN. With such irregular cycles it is going to be difficult to determine when and if you are Oing. Since you know that you have a cyst, I'd bet that it interferes with Oing. Talk to your GYN to see what your choices are. I'm not familiar enough with ovarian cysts, but I'm sure there are a lot of things that can be done to get your cycle regular. Best of luck to you.
What everyone said above you should get checked and see if you could get on a regular schedule with ur period. The cyst might be a reason but if its not maybe your just not having sex at the right time. You should get an ovulate predictor kit to see exactly when you ovulate since it would be hard for you to find out since you don't have a regular period and you can also use a basal thermometer to keep track of your temperature for a change www.fertilityfriend.com has a chart for you to chart it and it tells you when you are ovulating. Hope this helped you
I think it is not a big problem as it can b brought to normal with the docs help as even i was also suffering from the same prob. it took me only 4 months of medication to get my harmones back to normal order. i advice u to consult a good gynaecologist. All the best.