What you can do on your own:
Letters of denial - Find persons with whom you've worked, or whose lives you have impacted, and ask them to write letters of denial. These can be very simple, stating how long they have known you, in what capacity, and the plain fact that you have never behaved inappropriately around them. Once written, you can forward copies to your parish, bishop, archbishop, and so on up the line. This is only the beginning, but the journey of a thousand miles begins with but a single step.
Affidavits from persons not molested - Further, find young persons (even if they are now much older) with whom you have served over the years, and ask them to complete notarized affidavits of non-molestation. This is a more rigid form, and requires the signature of a state licensed notary, but states under penalty of perjury that you have worked with them, and that you never molested them in any way. It is helpful if the persons in question are especially attractive, and of both sexes, as to show how resolute you have been in your vow of chastity. If the person was also in a high risk group for molestation, such as a runaway, orphan or child of drug addicted and absent parents, it will further add credibility to your claims, since these are the most likely candidates for such abuses. These affidavits should likewise be copied and mailed to all relevant parties, including the prosecuting (plaintiff) attorneys pertinent to the case.
Make a public show of your distaste for children - Though nuns have arguably cornered the market on this, though refraining increasingly from corporal punishment in recent years, there's no reason you can't, whenever someone important is around, like a teacher, administrator or activist parent, express your disdain for children in general. Don't go overboard like how Reverend Ted Haggard did with the homosexuals, because that degree of disgust all but verifies personal interest, but it's perfectly acceptable to exhibit patent disinterest and distaste for those under the age of 18.
Keep a log of everything - Even things as simple as telephone calls and letters sent should be detailed, right down to who you talked to, when, why and the outcome. You never know when your phone records will be subpoenaed and you'll have to answer as to why spoke to whom on which particular occasion. A detailed log will exonerate you every time.
Watch out for which websites you visit - This one is okay, but if you're hanging out on teen chat forums or conversing with younger persons on sites like Craig's List, be aware that a digital record of these things will be available until the end of time, long after the statute of limitations has expired. Consider instead browsing from the house of a friend, or using library computers. Libraries are famously known for deleting user browsing logs and histories at the end of every single day, so you should be okay there.
Do not acquire new identity documents - In many cities the price and availability of documents like a false passport or driver's license may be tempting, but even if you just want one for the sake of novelty, these transactions may be monitored by law enforcement officials. Especially if you're already embroiled in a scandal, this may be seen as an escape safety net, and should be avoided whenever possible. Consider having a trusted friend do it for you, and not one who suffers the affliction of drugs or alcohol, who may have already become a state informant.