Agreed - at first I thought there were going to be very few firms up north. But that culture has significantly changed. From a lot of events I have gone to it seems apparent that more firms are clocking on to the north/south divide - so I would watch the space in the coming years as more firms seem set to setup offices there hopefully!
I'll try to give as much info as I can!
Hill Dickinson - I don't believe fund you outright. If you have completed the LPC they will let you qualify through that route and that route seems to remain open for the time being. But if you need to take your SQE you can discuss with the firm and they can provide support. I know quite a lot of people here and I would say the firm is huge for small universities and non-rgs.
Weightmans - has the same policy above I believe.
DWF - same above, I do not think they they fund - but someone can correct me on that!
Brabners - I am unsure about re: funding. But they are also great for small universities.
Jackson Lees & Bond Turner - same above.
Irwin Mitchell - last I heard they offer around £10k for the PGDL and for the SQE will cover your exams and a four-month SQE prep course. IM are very good for a diverse range of unis.
Eversheds - £7k grant
Pinsent Masons - they fund your SQE
SPB - £10k grant. SPB is great for a diverse range of hires - I know some of their grad rec and they are big time pushing for a broad range of applicants.
Shoosmiths - £7k grant
Fieldfisher - £8k grant
Addleshaw Goddard - £8k grant (great for small unis as well)
CMS - £15k grant and like a broad range of universities.
DLA Piper - I don't know much, sorry!
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I would say, each firm in the north is quite focused and for lack of a better term, slightly less commercial more broadly (i.e., the north tends to handle a nice mix of stuff). If you want only commercial business work then
DLA Piper, Eversheds, SPB,
Addleshaw Goddard, CMS, and SPB will be right up your alley. If, however, you might be interested in more "personal" areas alongside commercial areas - so thinking like personal injury, education, residential real estate, court of protection then Weightmans, Brabners, Jackson Lees, Bond Turner, Irwin Mitchell will be your thing.
Hill Dickinson strikes a neat balance in my eyes. I know some of their maritime lawyers but also know some of their lawyers who work in education law (think like advising councils on how to support schools with reasonable adjustments for disabilities as one example).
If your end goal is to go from the north to the south, I would probably factor that in as well when doing your research as some law firms above only have northern offices while those with an international presence will refuse to support you moving offices down south. Some have open transition policies so could be worth emailing any firm of interest to you to see where you want to move to. The only thing I have found that might be an issue - and someone is free to call me out/correct me if they don't think I am right! - is that there is a small circle of firms (usually US firms) who won't really entertain a lawyer who trained in the north (mainly because they don't think you have the "experience" as a lawyer who trained in the south at a commercial heart law firm might bring). If you aren't interested in that type of "snobby" firm approach, then there are still hundreds and countless prestigious firms that will happily encourage you to apply to them. That being said ... when I did a scheme at Covington the two lawyers I was with were from the north which was an amusing sight to behold - so I don't think it's that much of a deal breaker as it may have been in the past!