I'm 99.99% sure about this but I'd just want to double check. If I have a domain (i.e., example.com), and I have name servers registered with that domain (i.e., ns1.example.com, ns2.example.com), and I transfer that domain to another registrar, it will not affect the name servers, is that correct? They will not get deleted or reset or anything of that nature, correct?

Again, I'm almost completely sure of this, but this is such an important issue I just wanted to throw it out here and make sure.

I have transfered two (server) domains now during this Registerfly mess.
Didn't add/change anything. Now a few weeks has passed and the servers are still running..
Just go ahead..

Sammy ;)

yes they wont be effected