A product called SOLAR OIL is good, but only for 'bare nails' likke yours.
I have known nail technicians actually link sell this product to clients, which is very naughty, as the oil, once under the acrylic nail, will then cause the nail to 'lift' therefore making the need for an infill sooner rather than later.........
Seriously, before you have the tips on, try the Clarins cream, I believe it is in the region of 15 pounds. There is 2 hand creams, an age defying one and the hand and nail. In your case, initially use the hand and nail cream.
Good luck, and let me know how your getting on. Its hard for the first couple of weeks, but I was a nail biter ALL my life with terrible nails, but they really are looking well now
