if you're thinking of going private, bear in mind that the nhs will knock any private cycles you have off your nhs limit ... so tho i was eligible for 3 cycles on ns, i had the first one privately so the nhs woudl then only fund two. however, if you have frozen embryos following the fresh ivf cycle, each attempt with a frozen embryo transfer counts as part of your funded ivf cycle.
a private ivf attempt costs about £4000, plus costs for frozen embryo storgae, and each frozen transfer then costs about £900. you can transfer them to the nhs though, which is what we did.
good luck xx
PS before deciding to do iui, ask about why it will be more beneficial to you than ivf. we decided to go straight to ivf.