To answer your second question, departure information will be the runway in use, QFE and or QNH and maybe the wind.
Taxi instructions are how to get to the runway from where you are.
You may want to get the departure information, have a think about what you want to do, maybe do some checks before you taxi - so just ask for the information. When you're ready to move ask for taxi instructions. Perhaps you have already copied the departure info when it was passed to someone else and you're ready to go - then ask for both at the same time. Your example is fine.
You mention that you are training from an airfield with an A/G radio station - technically the person on the radio cannot give you taxi instructions and you should simply transmit your intentions. In practice at this stage of your training I suggest you go with whatever your instructor teaches you and what is common practice at the field. But it might be useful to ask your instructor to give you a briefing on the differences between the different air traffic services.
Good luck on Tuesday.