yes you need to do work experience and you need to start now! when you apply to transfer in, you fill out a form showing your commitment to vet science, and it needs to be as full as possible. Join the RSPCA, Wires, NSW animal welfare league, andy other organisations you can think of, do volunteer work (or paid work) at vet clinics, and do every animal related thing u can think of to put on your form.
The way transferring works is they give you a mark out of 105 (odd number i know...). Its 60% Uni marks, 40% Stat test result, and 5 marks for commitment to vet science. You need a distinction average to be competitive. A lot of people get both the marks and the stat result, but loose out on the committment. It really is that competitive that one mark difference in commitment scores can mean missing out on a place, so do as much as you can. My friend had a 79 average, 99.9 in the stat test, and had a bit of work experience, but not much, and she missed out on a place. So work experience is really important!
As to which uni course to do, it really doesnt matter. The faculty doesnt care what course you've done, or what uni u did it at, they just look at marks, and you need to complete one full year of uni study to be able to apply for a place in vet. So do whatever course you think you can do well in.