UK-Born US Citizen Living/Working For US Company in UK

Hi,
I was born in Manchester, UK in 1978 to U.S. parents who lived/worked in the UK until 1989 when we moved back to the U.S.  I have U.S. citizenship and a U.S. passport.  Now, I'm looking to move my wife and two small children to the UK while I work for a U.S. company with a UK office.  I'm hoping to get some guidance and insight on the following questions...

1.  Is it correct that I can apply for a British passport since I was born in the UK?
2.  If so, do I need any type of visa or is the passport enough to work/live in the UK?  Would I then enter the UK with the UK passport?
3.  What about my wife?  Can she work while living in the UK?  Without a visa because she's married to a British-born husband?
4.  Would my children need visas?
5.  Is it typical for a U.S. company with UK office to pay a British passport holder in dollars or pounds?  Which is better?
6.  We would keep our home in the U.S. as an investment and rent it out but live full-time in the UK.  Any problems in doing so?
7.  It's my understanding that we would file U.S. taxes along with UK taxes but you're not double-taxed on income...is that correct?  Any further details would be greatly appreciated.     

I have loads more questions but hope this gets me started.  Many thanks for any insight.

1. If your father wasn't a diplomat for a foreign country or an alien enemy then you are likely a British citizen.  Easiest way to find out is to apply for a passport. The passport office are pretty clued up and helpful, unlike the home office. Otherwise your company will need to look into sponsoring you.  They'll need a licence first.

3. Your wife would need to apply for a spouse visa before she entered the country.  She could work once she received this. 

4. Assuming you get your passport, you could then register your children.  They'd be given citizenship by descent.  Otherwise they'll also need a visa.

5. I'm not sure about this question.  I don't think it matters.

6. Sorry I can't answer this question.

7. There is a foreign income exclusion for us taxes.  You won't be taxed up to a certain amount. 

You've asked a lot of questions here so I've kept my answers short.

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5. If you are working in the UK you'll be paid in pounds and have to pay UK income tax. You should talk to your company about your pension and payroll taxes as for short term intra-company transfers there is a possibility of avoiding NI and to keep paying FICA.

6. Well managing a foreign rental has lots of potential problems....but as far as income and tax is concerned if you are taxed on an arising basis you'll have to include the US rental income on your UK taxes. But you can take a credit of your US tax return for the UK tax you pay.

7. Yes you will file both US and UK taxes. The US/UK tax treaty and domestic tax laws will prevent you from being doubly taxed.