The titles of a degree may remain the same between Universities, but the degrees don't. Each University sets its own exams and makes its own courses.
University league tables/ranking tables rank Universities based on their entry requirements (How bright you have to be to get in), the standard of teaching, the difficulty of the course. It's basically a measure of how well you have to do to get into the University and get a degree.
Generally, the higher ranked a university (In the subject area), the brighter students will be, the harder the course will be, the harder the exams will be, and thus, it will be harder to do well, and a degree will be more valuable. E.G. Oxford and Cambridge only accept students who get the maximum grades (A*AA at Cambridge e.g), have exemplary teaching, and set extremely tough exams. Thus, you know someone who gets a 1st from Oxford or Cambridge has done exceedingly well.
A 3rd class Degree from a University ranked 3rd will be FAR better than a 1st Class degree from a University ranked....say 97th.
Employers DO look at which University you went to, and value it much more than the class of your degree (as I''ve just said). A person with a 2:1 from a Uni ranked 35th is not better than a person with a 1st from a Uni ranked 36th, but if it were 10th and 40th, they would be.
You have very good predicted Grades. You probably want to be aiming for a Uni close to the top of the league tables. Liverpool, Newcastle, Nottingham (to give some examples) give offers around ABB, and they are in the top 20. That is probably bout where you want to be aiming.
As a good guideline, you should be aiming for a Uni with similar entry requirements to what you are predicted. Have a look at the typical offers for your subject. If their typical offer is significantly higher than your grades, you don't have much chance of getting in. If their typical offer is significantly lower than your grades, you can probably do better than that University.
However, keep in mind, you also want to go to a University that you WANT to attend. You have to enjoy your time there, partially because it is 3 years of your life, and secondly because if you're not enjoying it you won't do well. Simple as that. In your case, you probably want to be going for top 20/30 Universities (or around 30 e.g. Liverpool, which is 32nd but highly respected, and part of the Russell Group, a group of elite Universities), which you would actually like to attend.
Hope this helps and good luck with your application! :)