When you set up something, you make arrangements for that thing. You can set up a meeting, set up a date, or set up a vacation.
We also use set up when we talk about establishing a businesses or some organization.
When you set something aside you keep it or save it for us certain occasion. You can set aside money, set aside a bottle of wine, or set aside clothing.
When something sets you back, it causes a delay
We use set in when we talk about something unpleasant or unwanted. We use set in when something starts and we feel like it’s going to continue.
When you set out to do something, you make a plan to do that thing. We usually use set out plus the to verb
When something is set in stone it is firmly decided. This idiom gives us the image of the old days when things were written on the stone
When you set the wheels in motion you begin doing something that you’ve planned
When you set up shop, you start doing business yourself