When you click on links to various merchants on this site and make a purchase, this can result in this site earning a commission. Affiliate programs and affiliations include, but are not limited to, the eBay Partner Network.
If you got a complete hub assy, you will save some work because you dont need to press anything.
Remove wheel
remove 10mm bolt for wheel speed sensor and remove speed sensor.
remove caliper, and rotor. You will likely need a handheld impact driver to loosen the phillips screws holding the rotor on.
You have 3 tapered links (all have cotter pins) you need to break loose. upper ball joint, lower ball joint, and trailing arm. Since you are not changing any links, you cannot use a fork because it will destroy the boots.
you will need a ball joint tool.
you will need a 36mm socket for the axle nut. The axle nut must be tightened to 220 or you will waste another bearing.
ball joint tool on the left. It works for the lower, but may not fit for the other 2. you may need a different style.
Here's a DIY. I've never heard the rear knuckle referred to as a rear spindle, but I'm pretty sure it's what you're talking about. If this thread doesn't make sense, you should consider getting help, or taking your car to a shop. This isn't the sort of thing you want to get stuck half way through.
Always the first place to look when you have a question.
Make sure you have the same style ball joint separator that is shown in that DIY. I was strongly warned against using a "pickle-fork" type separator when I was doing mine.
Also, an impact wrench is VERY convenient for getting the axle nut off.
Other than that, it's not too complicated. You might need to have a medium sized c-clamp on hand in case the ball joints start to spin when you put them back together (as happened to me). There's an example of that in this DIY: http://robrobinette.com/S2000Bearing.htm
Anyway, good luck
edit: I second billman's suggestion of the impact screwdriver. That thing was so convenient that I actually forgot that I used it!