Almost all home (non-network) printers you can now buy will use a standard USB A to B cable (
plug-head diagram here). These should cost less than a fiver.
There is a chance you may also have the option of using the old parallel style connector, or, if your choice supports network functionality, a standard Cat5 (Ethernet) cable, but most will just have the USB.
One thing to decide when buying a printer is the question of whether to go laser or not. Assuming you only need a monochrome printer, I would personally always choose a laser. They start relatively inexpensive these days, but their largest benefit is that they use toner rather than ink. Toner goes a lot further than ink, and, page for page coverage, is considerably cheaper to replenish. They are also almost universally faster than their ink counterparts, and usually less noisy.
I picked up my network laser for less than £300, but you can get a small home laser for around £60 now.