Glasgow, Nottingham, or Liverpool for Becoming a Commercial Barrister in London?

I’ve received offers from Glasgow (Common Law), Nottingham, and Liverpool for law, and I’m also awaiting a response from Cambridge to see if I’ll get an interview. (Haven’t used all five choices yet) My goal is to work in a commercial set in London as a barrister.
From what I’ve researched about top commercial sets like Blackstone Chambers, it seems that most barristers have either gone to Oxbridge or taken a route through reputable Russell Group universities followed by the BCL. I noticed that I don’t see much representation in the commercial sector from Nottingham or Liverpool compared to places like Glasgow and other top Russell Groups.
I’m leaning towards a path where I aim for a first, complete the BCL at Oxford, and then pursue the Bar. I’m curious if choosing Glasgow over Nottingham or Liverpool would give me a stronger chance in a competitive commercial set in London, especially since Glasgow is highly ranked for law. But I’m also a bit concerned that the distance from London might limit networking and internship opportunities. Any insights or advice?

You have plenty of time to decide. You also have plenty of time before you need to add your final choice and it will be a while before you receive any sort of decision from Cambridge (whether that be a rejection, interview, offer or post-interview rejection). Distance is an important factor to consider in this case. While Glasgow is reputable in terms of rankings, I imagine the vast majority of their networking events will be aimed at students wishing to practice law in Scotland, despite them offering both common law and Scots law degrees. I don’t know much about Liverpool in terms of networking opportunities, but for Nottingham there are plenty. I’m not sure whether there are as many opportunities for aspiring barristers as there are aspiring solicitors, but in terms of generally making London connections, you’ll be presented with various opportunities to network in a wide range of fields (including the legal field). For now I would look into the law societies at your chosen universities and gauge an idea of what types of opportunities you may have as an aspiring barrister wishing to practice at London. This may help you navigate the process better and also may influence your final choice. Best of luck to you - I’m a fellow Cambridge law applicant

PS: Internships etc are somewhat less important to those seeking pupillage than to those seeking training contracts. Blackstone et al are mainly interested in intellectual ability, as demonstrated by university results, whether in law or in other disciplines, and maturity of judgment, which is why spending some time doing postgraduate qualifications or working for a year or two at something or other may assist in obtaining a pupillage at chambers of that kind.

You're most welcome. I add that there is certainly no harm in seeking internships and vacation postings, and even if these happened to be in law firms in Edinburgh or Glasgow the experience would be useful. The differences between the Scots legal scene and the English legal scene are real, but they are not vast. The two legal systems have a lot more in common than, say, the English legal system as compared to the legal systems in France, Germany, Italy, Spain etc.
Chambers know that it is hard for people to obtain vacation postings and what not, so they won't necessarily junk your application just because you haven't been on X number of vacation schemes.
Work on interesting projects may assist. For example, spending some time after graduating working on some major pro bono project, or doing grunt work on a Public Inquiry team, or for the Courts Service, or getting a job which involves advocacy (not necessarily in courts or tribunals) with a charity, NGO, trade union etc. Other ideas may be to do a commercial job of some kind and get some real business experience for a year or so before starting pupillage, or to teach law to undergraduates if you can find some part time or full time teaching work.
It is best to do such things because you want to, and not merely to populate your CV, but please bear in mind that it is not uncommon to have to go through two or three rounds of pupillage applications before finding a place, and you may need something to do (and to make ends meet) while waiting to start in chambers.