Strut replacement is not that difficult a job, but if you live in road salt country, your chances of getting the strut bolts off after 13 years without an impact wrench are not good. Even if you live someplace less rust prone, an investment in an impact wrench is a good idea. Shops use pneumatic wrenches but for DIY if you don't have a decent compressor, a good sized electric unit may be a better choice.
After 13 years, I think a quick-strut if you can find one would be a pretty good idea. Your springs may be getting a bit tired by now and with quick struts you get not only less risk to your life and bodily integrity, but new springs.
If you do go with spring compressors, you'll save yourself grief if you loosen the bolt on the top of the strut rod slightly while the strut is still in the car. It can be really difficult to start after the strut is out of the car, and tools like channel locks and pipe wrenches won't get a bite on the stainless steel strut rod. Just loosen it a bit, don't remove it.
And consider using three compressors on the spring rather than just two.