Working remotely for US company while living in Glasgow- Help!

I have some logistical questions about how we would go about things if we moved to Glasgow (husband is a citizen), but he still worked for his US company remotely.  We are thinking about doing this because the pay would be double what he would make in Glasgow (even with the exchange rate).  We plan to rent out US house.  I have some questions:

1) Would US taxes still be taken out?  or would UK taxes?

2) What about NHS taxes?  We want to be able to use NHS.  What would we need to do.

3) I guess I we would need 2 bank accounts? One US to pay our mortgage and get checks from the renters.  A UK one to pay our bills in Glasgow.  I read someone there's a bank that you can get both but I couldn't find the post.

4)  Any other things that I am missing?

Thanks for your posts 

He would be subject to UK tax as he would be doing the work in the UK.  He would also be subject to US tax if he is a US citizen or green card holder.

Unless he claims the remittance basis, the UK would charge tax on worldwide income and gains.

His employers would be subject to Scottish law - including employment law; his employer's might create a permanent establishment of the US entity in Scotland so may need to file and pay UK corporate taxes.

HSBC told me the other day that I could have opened a UK bank account before I moved from within the US at one of their US branches. So apparently you can open both with them and move money back and forth easily.