Well first thing I'd suggest is to go out get yourself a good certificate (e.g. from VeriSign) and make sure all login traffic goes across SSL connections only.
Then, make sure your password encrypting/hashing algorithm is strong (e.g. not MD5) and that you have a good salt (e.g. it includes unusual characters).
Finally, make sure that you're NOT on shared hosting and that you trust the sysadmins who are administering your dedicated server.
Since you're talking about "VERY" secure, I'm going to assume that you've already taken care of things such as SQL injection and all that jazz.