That is a lot of kit to carry around, you will need something to put it in.
The size of bag you need will increase as you buy more kit. Most beginners can make do with a fairly small bag capable of carrying 1 or 2 swords. Anyone seriously considering competing might want to think bigger.
It is worth getting a bag with separate compartments for your clothing and blades, the combination of water and salt in your sweat will cause that nice shiny new blade to rust in no time.
One more thing to consider, how big is your car boot? Trolley bags are big and won't easily fit in some cars.