It's not in the city centre but it's like 10 minutes on a bus, it's not far from anything in practical terms. 15 min walk from Broad Green train station, too. 5 mins into the city centre from there, 5 min drive in a taxi if the traffic is decent.
The teaching there is broadly excellent (as reflected in their TEF award) and it has a proper community feel that you often don't get in the bigger universities in the city. You will hear some insults etc on here because it's a small institution and it is still quite religious (the only University in the UK or US to be founded by both Catholic and Anglican colleges).
Rankings change course by course so hard to give definitive answers.