The most important ones to disable when not in use are Screen Sharing, File Sharing, Remote Login, Remote Management, and Remote Apple Events.
Home Sharing is a classic Apple feature for sharing local music and video across your home network. It works much as it always did, but this article explains how to use it on current Macs, iPhones, iPads, and Apple TVs.
Having trouble sharing photos and videos that are too big? Try sharing via an iCloud link instead, which lets you share a simple link and lets people choose what to download.