This really depends on the limitations of your cablebox. For example, I know with some cableboxes, you can go into the guide and click on the program to see the recording options and this will also show options like reminders. If you go into this and your cablebox has an option to "automatically change to" option, you can technically have this change automatically, but you would need to set this for every specific show that you want this set to each and every time you want this to change automatically.
I hope this helps!!