a bottle of alcohol and white wine vinegar (50/50) solution to dry out leftover water from your ear canal, preventing the "swimmers ear" that some people develop after being in the water. Dribble the solution into the ear canal (intact eardrums only, please) with a rubber baby ear syringe and leave in for a full 5 minutes, and
Silicone ear plugs (Mack's brand is good) and
Containers near a pool or shower should be plastic.
Suits
Suits are often made of a combination of Lycra Spandex and nylon. Suits eventually fall apart from continual wearings in chlorine pools. I usually replace mine every 4 months or so since I swim 3 or more times a week.
Keep your suit longer by rinsing it in cool water as you're showering, by not wringing it out (just squeeze the water out instead) and hanging it to dry as soon as possible. A crumpled, soggy Lycra suit can fall apart before your eyes.
Caps
Caps come in either rubber, silicone rubber or Lycra Spandex. If you really want to protect your hair from chlorine, bear in mind that rubber or silicone is an effective barrier. Silicone is thicker and makes the best seal round your head. Porous Lycra caps keep your hair contained but will eventually fall apart, the same as a suit.
Hairdressers recommend putting conditioner on your hair under your rubber cap for protection while you swim. Every pool has rules regarding the use of caps, as you'll find out as you arrange for lessons.
Goggles
If your nose has a high bridge, for example, try goggles with an adjustable bridge. Feel for the goggle's seal near the nosepiece.
High cheekbones need a narrow and oval, not round, shape.
Small faces might be comfortable with a Junior size.
Goggles come with either foam or silicone rubber "gaskets" or seals attached, which help keep water from leaking in. Be aware of allergies you may have to certain foams. You can also choose goggles without gaskets, if you prefer.
Some students prefer the comfort of an oversized or wide-angle style goggle with a clear lens for maximum visibility in the water. Oversized, mask-like goggles require the most attention to fit around your cheekbones, the eye and the bridge of your nose.
Try the suction of the goggle on your face before you use it out underwater. Without undo force, press and hold the goggles over your eyes. If you feel poor suction, if the goggles don't stay in place for a few seconds before falling off, you have a poor seal. Try a different style. Don't torture your skin looking for the tightest fit, like me. (Silicone gaskets seal the best.)