d600 are Micro SD not mini.
this will not fit into your new phone unless you get the 2 in 1 adaptors (you can get micro sd memory cards with an adaptor that makes it into a mini sd)
remember, never force a memory card in, if it's not going in right flip it round as they slot straight in when put in the right way.
what is your new phone? 6233 or 6288?