Hi Dove, they are lovely, my neighbour has Norfolk Royal too. Least that's my best guess as to what it is. Very sweet, not a huge flavour and that typical conical shape. I prefer a most aromatic apple. I have Jimmy Grieve, (as I call it) I wouldn't be without it but it's not the best eater fresh from the tree. Not bad if you store it for a couple of weeks but still a bit tart but you get the aromatics coming through then. I've also got Spartan. It's not got a good reputation since since it's a MacIntosh apple but if you leave them on the tree as long as you dare they're really lovely. Mine weren't that sweet this year though. It's hard recommending an apple because it's a very personal thing.
Court Pendu Plat is a very nice apple as is
Orleans Reinette but they're not great croppers.
Irish Peach is very interesting but being early can be soft and doesn't store and it's a tip bearer so not good for espaliers or cordons.
Ashmeads Kernel is a nice later apple
Ellison's Orange Is also another very nice apple.
Worcester Pearmain is a very beautiful and reliable cropper, again and early apple but later than Irish peach and in a good year has a wonderful strawberry flavour. Worcester Pearmain is one of my favourite of the earlys.
Adam's Pearmain is a well respect Victorian Apple.
Lord Lambourne Is nice 20th century dessert apple it's a partial tip bearer
I recommend you look at the orange pippin website you might want to shop around first though. I buy my apples from either Blackmoor's Ashridge Trees, + Keepers There are others but I would always go Balckmoor first. Adam's Apple are the cheapest but I haven't got around to buying any from them. I belong to a group so get most of my stuff on the swap.
Oh, as has been said, you don't want to grow anything through your good apple tree. Save that for the old, past-it's-best, not-very-nice-tasting apple tree. Anything shading the apples will reduce the flavour hugely.