Like you OP, I have pale skin and dark hair. I have PCOS and have had troublesome dark hairs under my chin for about 5 years now, that got progressively worse. I plucked the hairs out, but the problem was the ingrown hairs and inflamed skin, which made me very self conscious. I started having LHR in April at Skin in Bicester (which is closing at the end of July, but there are lots of other branches), and I so wish I'd done it years ago.
I have had 3 treatments so far, and am having my 4th this week. The first treatment removed about 50% of the hair, and it has been getting less each time. I expect the 4th treatment to be my last, at least for a while, as there are very few hairs remaining.
I would definitely recommend it. Just a few things to think about/be aware of. Firstly, you have to not pluck/wax/epilate the hair from the area you want treated for one month before you have your first treatment. You can shave/immac though.
Secondly, there's no getting around the fact that it is expensive. Mine costs £83 per session, and bear in mind it is about 3 square inches. At Skin, they do a fairly heavy sell on a 'treatment package' when you go for the consultation, of 6 or 8 sessions, which does work out cheaper than paying for each session on its own. However, I'm so glad I didn't do this as the hair has virtually all gone after just 3, and I'm sure after my 4th, I will be ok with it, and won't have any more (apart from maybe 1 or 2 sessions a year as a 'top up'.
Sorry, mammoth answer! But yes, I would totally recommend it. Excess hair that you're not happy with is just depressing and sole destroying, and made me feel unbelievably self conscious.