Ebay - yes type in orchid and pretty much every listing will be a rare one.
Of course all of mine are rare too though aren't they
I think you still did well orchid kid.
What you got is referred to as a Cattleya. Over the years Cattleyas have been hybridised with laelias, sophronitis, rhyncholaelias, brassavolas and others to give very long names like brassolaeliacattleya, this is then abbreviated to BLC or RLC or SLC or LC etc. Over the years the names have also been swapped several times from brassavola to rhyncholaelia so much that most of us don't bother to keep track of whether it is currently called a RLC or a BLC.
I think the Ports of Paradise is a RLC these days, not a BLC anymore but that is a technicality the experts can sort out.
If it has a name in quotation after the hybrid name, it means it is a clone of a desirable plant that has won awards and is thus generally a better plant with nicer flowers once established and worth more, probably a bit rarer and the plant looks in great condition so a very good addition.
PS: I just need to add you did actually buy yourself a very warm grower. Some can handle going down to 7 degrees C in winter, your Cattleya will not want much lower than 18 degrees C which can make it harder to grow in a UK climate - just be aware this plant likes it hot all year round, lots of sun, lots of day time heat, 16 degrees absolute lowest night temperature in winter
Basic care guide for Cattleya
Cultivating Orchids & Crafting Terrariums