Unfortunately many cases are prosecuted when it is one person's word against another. A classic example are charges of rape. It is almost always one individual's word against another - particular when the defense is one of consent.
This is a case where obviously credibility is key. You need to be able to display to the prosecutor, or to the jury if it ever goes to trial, that you are a more credible witness than these other individuals. It is entirely possible, particularly if they lied to the police, that they won't show up to court - but you can't rely on that. The best thing you can do is to hire an attorney. It's unclear from your question as to whether they charged you with burglary or theft, and if theft, whether it is a felony or misdemeanor charge but regardless, hire an attorney to assist you in getting to the truth. It is possible to be convicted even if it is just your word against theirs.