Do you have any at home tips on rust removal on my 97' Buick Century?

I would like to remove a few spots of rust off my car by myself. What is the safest, cheapest way of doing so?

Are there any worthy touch up paints in the auto stores? If so, what brand?

Well first you need to get all the rust off the metal.
Either by sanding it off, or using a sand blaster.

Then you need to prime the metal and then paint it.

That is the correct way.

Any other way is a total waste of time, and it will come right back fast