Options after expiration of J-1 status.

Am in US from South Korea on J-1 visa, working as post-doc in biology. Have extended J-1 visa once (after 1 year), and have valid J-1 visa till Mar 2011. Two options I am thinking of for staying in the US (should I want to):

1) If look for post-doc position at same or other University, can I change to H-1B around that time to stay on in US as post-doc?

2) Or what happens if I want to apply for a Tenure Track position as a Professor at same or other US University? Also change to H-1B?

Is either scenario above realistic? And if so, what does process of adjusting status involve?

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