While there are plenty of other more powerful solutions suggested here, I prefer my fairly light weight option - WinSCP connecting to the remote server over SFT

While there are plenty of other more powerful solutions suggested here, I prefer my fairly light weight option - WinSCP connecting to the remote server over SFTP, then opening the files I want to change in my preferred editor (Sublime Text). WinSCP handles uploading file changes to the remote server automatically; there might also be a way to trigger actions on upload, but that gets into specifics of how your codebase is setup / what you need to run to test changes. Bonuses of using WinSCP are drag-and-drop file transfers, and a pretty thorough site manager (/address book / credential storage / login manager, whatever you want to call it).