Diffference between NANO and UNO setups?

Most precisely the question is:

a) Are any (general) operations to be performed in order to allow a sketch and wiring scheme, done in UNO, to work on NANO as well?

Apart from taking care of actual pins correspondence of course.

A side question is:

b) What are the precautions specific on NANO (i.e. not necessary on UNO) when wiring?

Thank you!

There are none. Both work on 5v and both can be used in the same way.