Interestingly enough, adopted children tend to resemble their birth parents much more than adopted parents in the "Big Five" personality traits, and twins raised apart from each other resemble one another to a shocking degree. Bryan Caplan's book Selfish Reasons to Have More Kids discusses many of the studies that have examined these issues.
If you want a kid who is "like you," your optimal choice is probably to have biological children. The joys (and problems?) of being a parent, however, appear to be universal. Note that the first paragraph and Caplan's book are not an argument against adoption, but they are a reminder that genetics appear to have a much more powerful influence on people's personality than most Americans / Westerners wanted to believe for a very long time.