In Scripture this is a one day holiday, but since it is the only feast to fall on a new moon we aren't positive about when it will land. Therefore, this is traditionally observed on two days.
Starting in the evening on October 2 and going through sundown on October 4. Yom Teruah is a no work day.
This is a no work day and a fast day. October 11 in the evening until October 12 at sundown.
Starts the evening of October 16 and goes through October 24th at sundown. Hopefully you can free yourself up to celebrate as much as possible but the only mandatory no work days are the evening of October 16 until sundown the 17th, then October 23 in the evening until sundown the 24th. Since this is a camp out festival you will want to start thinking about what you are going to do for a sukkah this year.
Traditionally the day after Sukkot is a celebration known as Simchat Torah, where the final Torah portion of the cycle is read. This is a time of great joy, but this day is not found in Scripture.
If you want a printable download of the dates you can find it here.