Download a mod installer for the mod that you would like to install. Make sure that the mod is for the version of Minecraft you want to use. If the mod is for Minecraft 1.7.10 then all other subsequent mods should all be for the same version of Minecraft. Mixing different versions of Minecraft mods will usually cause conflicts/crashes. Most always the crashes are caused by conflicting mods. Some mods cannot be installed at the same time. The crash log usually tells us what mods are conflicting etc. Run the downloaded installer and click on “Options” tab. Then click “Clear Mods” and “Clear Config”.
This should only be done once per version or if you have a crash that you do not know how to fix! This will remove any old mods and outdated files, this way they do not cause the new mods to crash.