You will also need to be very strict with overall cleanliness so as to not contaminate the vessels. In our lab we wash out all of our flasks with soap and water, RO water and then double distilled water. After that we autoclave our jars and media then pour the still liquid media into the flasks under a laminar flow hood. If we scratch our nose we have to rewash our hands haha. The biggest issue I see for a DIY type thing is keeping airborne particles from getting into your flasks and keeping your equipment (transferring tools, scalpels etc) clean. You can just do an alcohol dip but then the alcohol could potentially become contaminated for later dips, disregarding the sensitivity of some plants to it.
As for sterilizing the plants before taking cultures, that can get tricky just because again some plants can be sensitive. There are a lot of plant specific dips you can use but I know many people who use diluted bleach solutions for some of the more hardy plants (not CPs that is).
And if you do decide to play with TC in a home-type environment I will warn about dealing with contamination. Even though you probably won't, it is possible for mildly harmful bacteria/fungi to decide that your agar/plant is a nice new home. So if you do have a significant bit of contamination I would suggest something like a "double ziplock" deflasking. What you would do is keep the flask contained and place it in a ziplock bag (preferably 2). In with the flask I would pour in a nice little serving of bleach. Close the bag and then open the flask so that the open flask in contained in the bag but exposed to the bleach vapors. I would let it sit for a few hours just to make sure that it is adequately neutralized. If you want to be 100% sure (like me), after a while you could tilt the bag around to get some of the bleach inside your culture flask. We can simply autoclave our contamination but I would be wary about using a pressure cooker to sterilize a 100% contaminated flask, but then again I like to be 100% sure on everything haha.
But like the others I would definitely recommend grabbing a few books and doing a little extra research. All this being said it can be very fun and rewarding to see your cultures grow!