As stated above, a press along with the proper accessories (such as a bearing splitter or separator, google it to see what it looks like) will likely be required. In some cases, you can use either a 2-jaw or a 3-jaw puller as well. The application of heat via a torch is sometimes helpful.
Another option for removing a bearing that will not be reused, is to cut through it with a metal-cutting blade (hacksaw, sabre saw, sawzall, etc) or cutoff wheel, cutting ALMOST all the way through the inner race in either one or two places (the outer race can be cut completely through in two places to get it out of the way first), and then use a cold-chisel in one of the cuts to split the race. This last step helps to prevent cutting into the shaft that the bearing is pressed onto.
You have to decide what your time is worth - in days past when I had lots of 'free' time, I replaced bearings in just about everything imaginable. These days, I only do it if it takes a minimal amount of time and effort, and I have replacement bearings in hand. You can find replacement spindles online for pretty reasonable prices these days.
The only bummer when discussing bearings is the fact that some of the offshore-sourced ones seem to be of vastly inferior quality (last 1/4 as long) compared to the American and Japanese-made ones of years past. That's been my personal experience, anyways.