UNSW and Usyd definitely have the best reputation and if you want to get into the best law firms then I recommend going there. But then again they also have high atar cutoffs. Don't feel unmotivated or less then other students if you go to UTS because it is also a great uni. I have friends who went to UTS and now they work at law firms and are doing amazing.
If you want to become a practising lawyer, study law at your most preferred uni out of those that give you a law offer. Generally, UTS and Macq (and to a greater extent, WSU, UoW, UoN and UNE) are a bit more generous with their offers than UNSW and USyd.
It’s best to study what you want, wherever you can, rather than studying an alternate degree with the intent of doing an internal transfer into law or a postgrad JD. These alternate routes are not guaranteed, likely to take longer, and may be much more costly (JD can be full fee) over going straight into law in a different “less prestigious” uni.