A few thoughts from an old guy
brandon,
First of all, what audio equipment do you have access to?
Computers get old very quickly, regardless of quality.
Well made mikes and electronics will work for decades.
Which do you think you should buy first?
If your good at troubleshooting computers, use a computer.
If not, get a little Portastudio.
As you can imagine, this is an open ended discussion. Once you start down the path of self recording, countless perils await. "For a few dollars more" is no longer a Clint Eastwood movie, but the mystic chanting of a Banjo mart salesman trying to extract his pound of flesh from your tender ass.
Either way, I would start with a few 57's, 58's, and a Mackie or Behringer mixer. Add a couple of bigassed powered speakers, and you have a basic PA system too.
Keep it simple for as long as you can. Once you get to the point of reading the recording mags, your toast. You'll lose your girlfriend, alienate your family, get fired from your job, and generally act like a heroin addict trying to find the next fix.
The words "warm" and "warmth" will be used to conjure delusions of grandeur, and ultimately make you blow your car payment on something with tubes.
Save money for decent professional equipment.
Buy used when you can.
Use what you have until you have learned how it works.
This got too long... sorry
later poux