Howt to file H1B when currently in L1B


I am in the middle of a dilemma. Kindly help me with some suggestions as soon as possible.

Currently I am working for company-A withL1B-Individual. Now I'd like to go for H1-B. 

I have below questions:


1. Are there 2 ways to file H1B? As L1 to H1 transfer or a fresh H1?

2. If I go for L1 to H1 transfer then I have to quit [b]A[/b] immediately after H1 is approved?

3. If going for fresh H1B how it will workout? Can I continue with A(L1-B) until I go out of US and stamp new H1?