Yes, find out the strain. Have all or one of the warts removed and biopsied for the strain(s). Do not have sex untilt they are gone for at least 3 months. Some say 6 months, some say 2 years. IMO, 3 months is enough. Condoms offer maybe 50% protection but if you've already had unsafe sex with your partner, then she has it too. The only reason to use a condom to prevent re-occurrence during the recovery period after the warts are removed since condoms have been found to reduce the chances of more warts. After that, it does not matter since she has it too. You and her cannot pass the virus back and forth to each other. If both of you lead healthy lives, then the virus will go dormant. Stop smoking, reduce booze intake, exercise, get more rest, avoid stress somehow, take vitamins that are specific towards immune system boosting and eat healthy. Not only will your stronger immune system fight this virus, you will look and feel better too! It is not the end of the world, really.
I just had my warts removed and I know the pain. I'm sorry you had to go thru that. Good thing is that is was caught.
Now about your sex life. While they are being treated I wouldn't have sex. If you had the treatment I think you did they should turn white. For me it did and it hurt to clean up after going to them bathroom.
Take some time and educate yourself and your partner before jumping into bed to ease worry.
You still can have a healthy sex life. Now and for the rest of your life. Hpv is very common.
If you only share one partner and its a mutual thing, ( from what my Dr told me ) pass the same stran back and forth until it rids itself and falls dorment.
Take care of your health and make sure your partner does to. Get paps done regularly. Eat healthy. Stop smoking and drinking and look into multi vitamins. And when it comes to sex, wear protection. I hope some of this helped bit please seek a Dr to better explain.