welcome to the forum as well.
I am a bit confused over your question. (how long have you had that router ??).
I have two of the 7614s and all basic 1/4" bits fit and operate as they should.
what is that you are holding ?? I have never seen anything like that before. (some kind of puller or extractor ??).
in my experience, there were never bits made specifically for the B&D7614.
it takes the basic 1/4" shank bits.
from what I see, you are missing the friction collet and nut.
more info please.
the small end of the collet goes in the down position (not as pictured).
also, it is supposed to be one piece (this one broke years ago).
new collets for the 7614 are still available on the internet if you need one.