Is it possible to convert an NFA with "epsilon" transitions into more than one DFA?

Are there different methods for doing so and would they all be considered correct assuming they give different answers?

If an NFA has the transition relation **d{ (q0,E,q1), (q1,E,q1), (q1,E,q2) }** would it be correct to write it out as **d(q0,E,q2)**? (E standing for epsilon, q0 being initial state and q2 being final)

Is it bad practice when converting to have multiple NFA states as one DFA state? 

Alternatively is there some way I can test my conversions out and make sure they are correct either using a program or some other way.

Apologies for the noobiness of the questions.