The only questions I can definitely accurately answer are that unfortunately, no amount of cleaning or excellent personal hygiene can prevent this.

If you have the virus, then you have it. There's nothing that can "cure" it but for most people, it does eventually go dormant, or undetectable, in your system. But you
can eat healthy and exercise to boost your immune system, which will greatly help you force the virus into dormancy.
And as for the doctor to see, since you're male, you can go to any regular doctor. For females with exposure to HPV I would recommend going to a gynocologist, since it can lead to cell changes on the cervix that can lead to cancer. But yeah, my husband just went to Urgent Care when he first noticed a wart. So you can even go to the walk-in clinics if you don't want to wait to get into your regular doctor. But keep in mind that since you ARE male, no doctor is going to be able to confirm whether you have HPV or not unless you have a visible wart. There's no test for males like there is for females.
As for the oral sex question, I think I remember reading that you should definitely steer clear of the actual warts if you're going to do that. Just to be safe, I personally probably wouldn't do it at all while the person even has visible warts. I would wait until they were all cleared up. But that's just me!