Don't skimp (ie €99 red/blue specials). The DC13.4 sells in truck loads for a reason - it is good value for money. ANR is always better (some would argue that an ANR failure on a Bose X is a PITA) but you need to question the additional cost.
I'm a professional pilot (well, 'professional' in so far as the CAA think so
) and have some Bose A20s. These are absolutely excellent but at €1200 a pop, you need to be decadent, a lottery winner or able to offset the cost against your tax bill.
My advice to a newbie is go for the DC13.4s and if you want to upgrade, there is always a healthy second-hand market for the DCs.