The most important thing I use in refining is a quality set of glassware. You can go crazy and have all sorts of glassware. However, a basic set of beakers and flasks is more than enough to get started. The base set I use can be purchased on Amazon for under $30.
I’ve been using this set for 3 years now and every single piece is still like new. I make sure to clean after each use. You may not use the graduated cylinders as often but I’ve found that they definitely come in handy on occasion.