Why not go to your LBS and buy shoes and pedals? There you can get the expertise and help you need as a newcomer to clipless pedaling. Don't buy shoes off the interwebs, unless, as mentioned above, you have worn the same shoe before ... which I presume doesn't apply here.
I recommend SPD (double sided) pedals and MTB shoes.
Less than $100? I don't think so. You get what you pay for in this case especially.