I think you’ve completely misunderstood, so to clarify…
There is a ‘body’ that calls itself “The Regular Grand Lodge of England”. It is not regular - it, doesn’t actually exist except in the minds of one or two eluded ex-masons, one of whom may actually have died as we’ve not heard from him in a while. The problem is they have a web presence so can be found online and misconstrued to be representative of Freemasonry. You don’t therefore use the term ‘regular’ (certainly with a capital ‘R’!) when talking about UGLE or your Province to avoid that confusion. We are ‘regular’ (description), but not ‘Regular’ (title/noun). Masons will understand what you mean just by using ‘UGLE’.
You on the other hand, are a member of the Sons of Kendrick No. 8362 which has 31 subscribing members, and is in the Province of Berkshire. Whilst you personally are not a member of the Provincial Grand LODGE of Berkshire, you ARE a member of the PROVINCE of Berkshire. You become a member of the Provincial Grand LODGE of Berkshire when you (eventually) get appointed to Provincial Grand Rank.
As a for instance. I’m a member of 3 lodges that meet in the Province of Cambridgeshire; that makes me a member of the Province. I’m ALSO a member of the Provincial Grand Lodge of Cambridgeshire as I’ve been appointed to Provincial Grand Rank and have held office and positions within both the Provincial Grand Lodge and the ORGANISATION of the Province. I’m a member of United Grand Lodge of England by virtue of being a Past Master of a lodge - NOT by virtue of being a Provincial Grand Officer. Why? Because Master Masons can be appointed to Provincial Grand Rank - but that doesn’t entitle them to vote in Grand Lodge, only in PROVINCIAL Grand Lodge.
What all this means is that you can quite happily say that you are a member of 8362, the Province of Berkshire and UGLE. You are not yet(!) a member of the Provincial Grand LODGE of Berkshire or Grand Lodge - (that is to say a VOTING member of UGLE)
BTW - I think it unlikely that all your members are WM, SW, or JWs - there will be one WM, one SW, one JW, Grand and Provincial Grand Officers, PMs, and the rest Master Masons, although they may well be members of other lodges.
Does that make things clearer?
Oh, and unlike the US, you are entitled to vote in ballots etc within your own lodge. You, unlike many in the US, pay subscriptions when you join - unlike the US where they pay subs when they become a Master Mason. You therefore, have a say in who becomes Master of your lodge, whereas your opposite number (EA/FC) in the US doesn’t.