Hi D.,
The same thing happened with my daughter...didn't use a binky or blanky...took a sippy cup fine, with juice or water during the daytime from the start, but wouldn't drink milk out of one. We still gave her a bottle of milk in the morning, at naptime and at night, until she was about 15 months old. We were having another child (18 months apart), so we needed to get her off of the bottle before he came, so she wouldn't think he "took" her bottles and for the whole teeth reason.
My advice...go to Wal Mart and buy Nuby cups. Their nipples are most like bottles, but it is a sippy cup. Sometimes they leak, if the nipples aren't lined up properly. We like the sports bottle one the best (seems not to leak as much). They also make one that has 3 different nipples, so you can use that one to start and then change them as needed. See if it works...I know a lot of moms who went this route...and no worries about when he's off of it...but I would recommend not "giving in"...then he'll learn he can throw a fit and get what he wants, and that will only get worse when he's 2! :)
Take care and have a great weekend!
A.