Your local pool may have all of the equipment you need (other than goggles) but you're best to call first to confirm. If you can afford it, it's always best to buy your own fins, paddles and pull buoy so you are guaranteed access where ever you go. Don't worry about kick boards; there always seems to be one available. What follows is a list of equipment we typically use in our training.
Goggles: Take your time to find the style that fits your shape of eye socket and offer greater comfort. Without the strap on your head, the goggles should suction into your eye socket and stay there for a fraction of a second.
Fins: If you know you have a strong kick then short style fins will be fine for you. If you are a new swimmer or struggle with the kick, go with a mid-length style. Avoid the very long scuba fins.
Paddles: We recommend a paddle that is roughly the size of your hand. Larger paddles can result in excessive load on the shoulders. We also prefer a full paddle as opposed to the more advanced finger paddles.
Pull Buoy: When held between the thighs a pull buoy allows you to swim without use of your legs. Because everyone is built differently, you may require a larger or smaller buoy to float your legs. If your legs sink, go big!
Kick Board: We prefer to work with the classic style of board as opposed to some of the triangular ones. Local pools have ample supplies.
Ankle Band: These are used in conjunction with the pull buoy. They help to ensure you don't kick at all. Plus they add to drag a little which can be good and bad! You can buy one or simple take a bike tube, cut out the valve, cut the remainder in half and, presto, you have two ankle bands.