Hi Hunnie, welcome to the site. Depends really what you want to be able to offer - would you like to just offer natural nail treatments (manicure, pedicure, minx, shellac/gel polishes) or would you also like to be able to offer enhancements (gel or liquid & powder acrylic enhancements)?
OK then in that case I believe the NVQ 2 would cover you for mani/pedi training but you don't tackle enhancements till NVQ 3 - but you need to check that!
I went down the road of the private training company and am very glad I did. CND do a fab course that would train you in natural nails including Shellac but not Minx by the looks of it (it's called CND Naturally)
You can add Minx on and you'll have a lot of the tools necessary but you'd need to purchase the Minx kit on top. CND are the distributors for Minx and Shellac so it's best for you to go straight with them, in my opinion. It ain't cheap - but then nothing worth having is. If you go down the college/nvq route and add up the costs it's probably similar.
CND also do a CND Complete course which covers all of the above but includes enhancements.
They can answer all of your questions but a good starting point is their website Welcome - Sweet Squared go to Education then Jump
Bear in mind other companies do training also (OPI aka Lena White, for example) but they don't distribute Minx and Shellac, the have Nail Appliques and GelColour. Similarly Harmony offer Gelish, Young Nails offer ManiQ etc All the big companies do their own thing it's worth calling round and comparing to college prices.
Hope that helps any further questions fire away xx