Doesn't matter what plate you're buying, on a personal experience I've never ever buying a private plate again!
Too much paperwork to sort out V5, insurance docs etc etc then £25 admin fee to insurance to change over... then if you change your car, more admin fees, if you put it on rentention £105 (I think) for the first 12 months then £25 (I think) every year after..... then if you come to sell it, paperwork is a nightmare.
Was thinking maybe it's just me and private plates don't get on lol, but my gf has had the same problem. Maybe it's just us!? lol
But don't let me put you off mate lol