Hi there,
As for the reeds, I would definitely recommend buying new ones, starting at Soft/Medium Soft. I haven't ever used someone else's reed, mainly for sanitary and shaping reasons.
The ones that you have already are used, meaning that someone has shaped them to their particular preferences. When you "break" into a new reed, it can take some playing for the reed to "mould" to the mouth shape. Therefore you will probably want to start with a new one so it will suit you better.
Also, some people scrape the cane down to make it thinner (means it vibrates easier, makes it easier to play) so again you'll want to get a new one so you can change it to how it suits you.
About the cleaning, it is good to have swabs to clean out the parts. I know it seems like a big hassle to take it all apart and swab each part individually and then unscrew the boot part and let the "condensation" drip out there, etc. but it is worth it to extend instrument life. Despite saying this, I rarely give mine the thorough cleaning it needs (hey I'm 15 I'm allowed to be a little slack

) but these kinds of habits should be started early I suppose.
If you're only playing for a few minutes at a time I suppose little condensation would build up, so no you don't have to dissemble and clean each time, just a good clean at the end of the day. Remember to soak your reed in some water for a few minutes before playing, it allows the cane to absorb the moisture instead of absorbing saliva which would make the reed feel dry and crack.
There are some websites for bassoon playing, eg.
http://www.tsmp.org/band/nelson/nelson1.htmlhttp://www.mti.dmu.ac.uk/~ahugill/manual/bassoonBut I find this one to be the most detailed, helpful and comprehensive:
http://www.uky.edu/~pcsimp01/Bassoon_Studi...soonbasics.htmlIf you're interested in hearing some bassoon, here is a great site:
http://ishikawa.colorado.edu/yirecital11.04.htmlGood luck and have fun with your bassoon playing