To start at the basics, the only thing you essentially care about is the growth of your nest egg - in other words, performance of the mutual fund. But performance is the most difficult parameter to judge - since none of us can actually predict the future. We can aim to predict, hopefully with some accuracy, based on a variety of factors - management experience, past performance, associated fees, market conditions and so on - whether the performance of the mutual fund will be as you predicted and expected. As a general rule of thumb, when comparing mutual funds, look at performance over the same time period in the past, factor in longevity of management, associated fees and ensure that you are comparing mutual funds with the same investing styles.
An equally important factor when considering performance is volatility. In general, a mutual fund with heavy losses in one year and gains in other years may show a great average but show poor cumulative aggregate gains. In other words, your portfolio will be poorer overall compared with one that shows a steady gain over time with few, if any, deep losses in any given year.
A third essential factor is the size of the mutual funds being compared. While longevity of the fund and its management are essential factors in predicting mutual fund success, if a mutual fund is too large - say in excess of $20 billion in funds under management - its future returns are necessarily constrained because of the number of winning stock ideas the fund needs in order to provide you with market-beating returns. All things being equal, it is safer to go with the smaller fund.
With all the above basics covered, you should still not get married to a fund forever. Understand the larger market forces and be with a given fund when the wind is behind your back. This will avoid your having to suffer through long bear markets, and instead have you move from one bull market to the next, choosing the appropriate mutual funds at all times.