Racquet - Needs to be lightweight,and good quality strings. Not all designs are the usual oval shape.
You may need to add a grip or overgrip depending on size of hand and comfort. Top quality racquets will have decent strings otherwise it's around £15 to have new strings and have a 1 piece shaft. They sell in different "flex" too, how bendy the long part of the raquet is to get whip in to the smash.
The main makes are Yonex, Prince, Wilson, Babolat.

Clothing - Sports socks to prevent blisters. Shorts are best to be light and and sufficient give round the thigh to allow lunging or stetching for the shots. Vest or T-shirt again very breathable and lightweight to allow for upper body and arm movements when hitting the shuttle. For warming up or playing in a cold hall it's adviseable to wear a tracksuit or a sports vest beneath your T-shirt. The colder you are the more prone to injuring yourself you are.

Shuttles - Can be either Plastic or Feather. Yones 370's are the standard for club/division level. They last longer than feathers and can be mis hit several times, tend to go faster than feather shuttles. Feathers are used at county level and higher and some clubs too. But they don't last as many hits before a feather breaks or become ruffled, so the flight becomes slower or not straight. The advantage is they fly in the air better, slow up quicker for net shots and rotate in the air when rolling them for very short net shots just over the top of the net.