A question on seams

Do any of you have any good techniques for finishing up the raw edges of the seams for those of us that don't have sergers/overlock machines? I'm planning on sewing a men's shirt this month and I don't want to it to look unprofessional and a mess on the inside. I've heard about sewing a zigzag stitch over the edge of the material. And I've also heard about French seams as well but I'm slightly concerned about bulk. Any thoughts on the professional treatment of seams for those of us who only have a sewing machine?