Infrared is a wireless connection used to transfer data. it uses beams of infrared light to send audio video and data between devices. An advantage is it can have a long range if powerful enough. however a disadvantage is it's sensitive. It's often found on TV remotes, phones etc.
Infrared can transfer data of speeds at around 1mps
Bluetooth is a wireless connection used to transfer audio video and data between devices using microwaves. An advantage of Bluetooth is it can be compact and used in wireless headsets etc.
However, a disadvantage it it has a small range. Bluetooth is usually used on phones, computers and headsets to transfer data between them. It can transfer data at speeds of up to 24Mbit/s