Thank you all for the above replies. The accrual method may be simpler, as I know that interest, CG, etc received in a US account in 2013 will be taxed once it is reported in my 2013-14 HMRC self-assessment, and can I predict the tax rate that will apply.
Is it allowable to use both "accrual" and "paid" methods in the same tax US tax return, using them differently on different 1116s? For example, could I use "accrued" for US source income in 2013 that I know will eventually be taxed in the UK once I declare it on my 2013-14 self-assessment, but use "paid" for UK income that has already been received and taxed in the UK during 2013?
Problematically, some income is taxed in more than one year. If I am paid £100 bank interest, I receive £80 (20% tax withheld at source). Up to a year later, I pay an additional 20% on this after it is recorded in my subsequent year self-assessment. But if I have had the account for some time, maybe I have already paid that 20% in the previous year, since it was figured into my "payment on account". So the £100 payment has £20 tax paid at the date of payment, and £20 tax either accrued for future payment, or maybe previously paid.