Auto-move tasks when overlapping

Say I have a 1-hr task at 3pm and a 1-hr task at 4pm. If I drag the 4pm task up above the 3pm task, I would like it to automatically push the 3pm task down to 4pm.

Maybe if you drag toward the left side of the screen it will create an overlap, and if you drag toward the right side it will do a push. Something like that.

Another, maybe simpler, way to solve this could be to make the "Overlapping" text a link - click it and it will give you the option to "push task(s) down to remove overlap".

For me this is essential because I'm trying to block out my whole day. If I do the whole day then realize I need to insert something in the morning, I then have to carefully change the time of every task coming after. Found myself doing this over and over which made the app unusable for me.

Also if I changed my 3pm task to start at 3:15, it would be nice to then get a popup like - "This task now overlaps with the next one. Would you like to push that task later?"