You could use any kind of remote connect software like Teamviewer, Logmein, or other to access the computer at church.
You can also save your schedule to a cloud storage like OneDrive or Dropbox and access that on the church computer when you get there on Sunday.
Programs such as Teamviewer, Logmein, etc. are fine, but the computer at the Church needs to be on and logged into an account for this to work. You would not be able to start the computer remotely from your home with them. And Teamviewer requires a Paid Subscription License for commercial usage and I know for an absolute 100% fact that using for this purpose is considered commercial usage. I ran into that several years ago. Save your money and just transfer the completed schedule on a flash drive.
If I want to work on the worship schedule at home, is there a way to remotely connect to the church computer to load the schedule or do I need to save and then load it once I get to the church on Sunday?