Hello thanks for coming on board, in answer to your questions, I can recommend you go to the website of our Embassy in Manila, Philippines and you will see at the bottom their is an online application for Filipino Nurses, at:
http://www.nursinguk.nhs.uk/
paste this link in your browswer, this is the official informatiion site for the UK National health service, this will tell you all you need to know about jobs with our NHS.
Also you are asking about major cities in the Uk, their are Filipino nurses working in all areas of the United Kingdom, mainly in the Big cities, you might want to cosnider the following.
London
Cardiff
Norwich
Manchester
Birmingham
Colchester
Chelmsford
Southend
Ashford
Bristol
Their are hundreds of major cities where Filipino Nurses have been placed, you will probably be linked to a particular vacancy, but you will most likely have to undergo and adaptation period once having been placed in UK, before you receive an ICC Pin number, please see the web site above to get the information you need.
Hope that helps