A smaller holder for a bag on your bench is not essential, but makes life easier and safer. Hot plate stirrer. This is usually a common laboratory item. But since the first thing you will do most mornings is to fill up your ice bucket, be sure you have one always available. Just about every institution will provide you with one or several lab coats, and most will have them laundered for you.
Some labs use only disposable paper coats.
Lab coat use is required for certain jobs but you should wear one whenever you are doing lab work, for safety and to prolong the life of your jeans. You need a separate coat for radioactive work. Latex gloves come powdered or powder-free. Try several brands of gloves before you order, because many people are sensitive or actually allergic to certain kinds. Used gloves should be disposed of in the biohazard trash.