Suggestion:
If it's just a wedding where you are inviting close friends and family then i definitely wouldn't bother posting them. Hand delivering them is more personal anyway and sets a nice tone for the wedding. People always worry about details that make a wedding far too formal afterall it is about celebrating the love of two people so no one should be putting on a show just because they think it is better accepted socially.
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Mail them.
If you want to hand-deliver, hand-deliver to their home or when you see the person in private.
Never, ever hand out invitations in a group setting where some people are not invited.
Well not everyone at church will be invited i suspect also, if they are handed out by the ride and groom it should be done in a way that is suitable with a small gift e.g like having a small gift box attached just so its not just giving away pieces of card,
I once had a very fancy party invite from a friend it was in a cadburys cover and was edited and there brought in like a circus to my house just to give me the invite it was like a circus themed party, Do you get what im trying to say.
Its better to post them but if you want to hand them out do it in a fancy way according to the theme.
Hope i helped and congrats to the bride and groom