Hi Doug. Did you also get a new SIM / phone number or you kept the same number and just changed phones?
If you kept the same number....your minutes should not have been affected. If it's a different phone number and you are shutting down your old number...you probably won't be able to transfer them.
However...I'd recommend you contact StraightTalk support and see what they can do for you and if there is any option. Here is a link where you can find StraightTalk's contact information.