You Don't panic, being veggie nowadays is easier than ever before. Nearly everyone knows someone who is veggie. Set your own pace.
Some people go veggie overnight, others take it slowly.
Be prepared for the jokes and some mickey taking. There will be people who will think you mad, or from another planet for simply contemplating not eating meat. Modify home cooked meals to please everyone. Others Let them know you are serious about being vegetarian. Pass on any info you find.