Well, if you want to have a go without investing too much then I suggest you buy a Gillette Classic for about a fiver. It's a plastic razor but it does a decent job and you'll find out if it's something you might get used to.
Blades cost from about 4p to about 15p IIRC I suggest buying a lot of different blades and see what you like best. A blade is good for 3 shaves or so.
Soap can be bought for as little as 50p from supermarkets.... try Palmolive stick at 50p from supermarkets. A brush like Wilkinson for about £3.50 and you are ready to go.
There are plenty of YouTube videos but you can always drop me a PM