First off, happy birthday. Second, you have a great mom allowing you to get such a nice knife. Don't forget to tell her that you love her, at least once a day. I do not own the ZT 0566, but I do own the ZT 0561. The way I feel about my 0561 compared to any BM product that I own is that I would recommend ZT every time. This is my opinion based on the knives that I own. The 0561 is not really in the same price point compared to the BMs that I own, so this opinion may not be a fair one. But it is my opinion just the same. I own three BM products, a Grip, a mini Grip and a Bone Collector fixed blade. Honestly I am underwhelmed by all, but then I paid less for all. It is not that they are bad knives. They are all capable with good steel. Spydercos are not for me either. I own a Military that is just fine, lockup is good, no blade play at all. I just am not a fan. If Spyderco is your thing, have at it, but for my money it would have to be the ZT 0566.
Take this all with a grain of salt as it is only my opinion. Choose the one that makes you smile the most, then keep it sharp. And enjoy your birthday.