Hachana

1. One may not prepare from Shabbat or Yom Tov to a weekday, a Yom Tov to Chol HaMoed, a Yom Tov to Shabbat, a Shabbat to Yom Tov, from one day of Yom To vthe second day of Yom Tov, from the first day of Rosh Hashana to the second day of Rosh Hashana, from one Shabbat to another Shabbat.
2. It’s forbidden to prepare on Shabbat even for a Mitzvah that is happening after Shabbat.
3. Preparation means any action even speech which isn’t needed for that day, however, if one action is done for both that day and also for after Shabbat it’s permissible.
4. Therefore, it’s forbidden to washing vessels that won’t be needed, prepare food for after Shabbat, fold clothing, rolling the Sefer HaTorah for the next Torah reading.
5. When Erev Pesach falls out on Shabbat one shouldn’t clean the vessels used for Chametz rather one should just wipe them with one’s finger or have a non-Jew do it.
6. When Purim falls out on Motzei Shabbat, one may not bring the Megillah to shul on Shabbat.
7. One may set one’s bed in order that the room look presentable, however, one shouldn’t make a bed (changing or putting down new sheets) in order to sleep on it after Shabbat.
8. It’s permissible to go to sleep on Shabbat in order to be awake after Shabbat, however, one shouldn’t say that one is doing so for that purpose.
9. It’s permissible to clear the table even after Seudah Shelishit so that the room looks presentable unless one knows that will not use that room until the end of Shabbat (which is common if Seudah Shelishit finishes late).
10. It’s permissible to do an action that isn’t any extra effort and it’s commonly done without thinking as long as long doesn’t say that one is doing so for after Shabbat. Therefore it’s permissible to take a Talit home from Shul, return a sefer to it’s shelf, return food to the refrigerator.
11. It’s permissible an action that doesn’t require extra effort if not doing it will lead to a loss. Therefore if one left clothing outside one may take it inside to protect it from the rain if there’s a fear that it will rot.

Study Torah and other subjects

1. It’s permissible to learn Torah on Shabbat even if one is doing so for some need for after Shabbat.
2. Even according to those who permit learning secular subjects on Shababt (see Permitted and forbidden things to read on Shababt), many forbid studying for a test during the week.

Washing plates, cups, or utensils

1. One may not clean plates or utensils that were dirtied unless there’s a chance that they will be used later that day; nonetheless one doesn’t have to calculate how many of that utensil will be needed rather if one will need even one of a certain type of vessel one may clean many of that same type. One may clean cups because they are frequently used even not at the time of a meal unless one knows that one will not use it that day.
2. After the Friday night meal one may clean the dishes in order to use them for Shabbat day meal. However, after Seudat Shelishit one may not clean the dishes even if one will be using them the next day.

Pots

1. Vessels which if left dirty may become insect infested or if it’s silver it may become ruined one may let it soak in water even if one doesn’t plan on using it that day.
2. If one removed food from a pot and there’s leftovers still on the sides one may soak the pot in water in order to prevent the leftovers from becoming stuck to the pot, however, if the leftovers already dried onto the pot then it’s forbidden to soak it because one is just doing so in order to make cleaning it after Shabbat easier.

Heating water on Yom Tov

1. One may use hot water in order to clean dishes on Yom Tov (if those utensils will be used on that day), however, it’s preferable to heat up the water before Yom Tov. However, dishes that were dirtied before Yom Tov one shouldn’t heat up water in order to clean those dishes.

Using soap

1. One may use dishwasher soap in cold water, however, one shouldn’t put dishwasher soap into hot water (even a Kli Sheni).
2. One may use soap in hot water which is in a Kli Sheni but one shouldn’t put soap into a Kli Rishon or have water from a Kli RIshon poured upon it.