1.  Two paper towels.
2.  Violin cleaner/polish, such as Psarianos or Hill. Only use cleaners and polishes formulated for the violin.
3.  Cleaning cloth, a few 8-12 inch squares cut from an old cotton t-shirt work very well, or clean microfiber cloths.
4.  A set of strings (if you wish to replace your strings) a good set is Dominants, or a less expensive option is Preludes (bright) other brands that are in-between in cost, are Zyex (brighter) and Helicore (darker.) Make sure you are buying the correct size for your violin, 4/4 for full size, 1/2, 3/4 for a kids size, etc.
5.  A tiny dollop of olive or almond oil, or similar.
6.  A small piece of masking tape (so once the strings are off, you can label them.)
7.  A soft bath towel on which to place your instrument.
8.  A small amount of vinegar and water solution, or lemon juice and water, about a 10% concentration.
9.  A sharp #2, or any soft lead pencil, it's helpful to have the sharpener nearby.
10.  A piece of a walnut or almond, or almost any soft nut will do (for darkening minor scratches, optional.)
11.  A chin rest wrench, a small pencil-like tool with a protrusion at the tip, which is used to loosen/tighten the screws of the chin rest. Also, a large paper clip will do, but it is recommended to have this affordable tool.

It would be ideal to see what you're doing as you work, so please angle your camera to have both you and your work area visible.