That is a very standard cup-and-cone bottom bracket. To remove it you need a lock ring spanner and a pin spanner to remove the lockring and the adjustable (non-drive side) cup. To remove the fixed (drive side) cup you need a fixed cup wrench.

Park and many other tool makers offer them. Here are the Park links:

http://www.parktool.com/product/cran...t-wrench-hcw-5 This is the lockring spanner

http://www.parktool.com/product/cran...t-wrench-hcw-4 This is both the fixed cup spanner and the pin spanner

If you are just going to remove the bottom bracket once and replace it with a different type , it's probably less expensive to have your bike shop remove it.

If you are going to just overhaul and regrease it, the fixed cup can be left in place unless it is damaged.

Note: Assuming your bottom bracket is English threaded like the one shown in your link, be aware the fixed cup is LEFT HAND threaded and removes by turning it clockwise.

Also fixed cups are often torqued in VERY tight and some method of clamping the fixed cup wrench in place is almost a necessity to prevent frame and hand damage if it slips.