First, I love shaving with my DE razor. It's one of my favorite me times. That said, here's my take on it.
1) The Shave - The shave isn't better. I get the same shave with my DE razor compared to my fusion/mach 3/whatever. It does take longer and it's a different technique. I do a 2 pass shave most days and a 3 pass on the weekend (when I have more time).
2) Irritation - This is why I first switched. I would get lots of ingrown hairs and razor bumps when I shaved. This is gone, however when I first started DE shaving I got tons of irritation and nicks/cuts. I don't have this problem now. This is because of how modern razors work by pulling your hairs.
3) Cost - DE shaving costs more upfront. I think my initial investment was around $85.00. I have yet to spend anything more in the year I've been DE shaving. I'm still on my first pack of sample blades (about 100 of different varieties) and my initial shaving cream and aftershave lotion selections. If you are looking to just cut costs without spending a lot, I suggest trying the modern razors at
http://www.dorcousa.com/. They are much cheaper than anything you can buy in the store and work wonderfully. I keep these on hand as my backup razors.
4) Time - DE shaving takes a lot more time. Shaving is now a 15-20 minute experience compared to the 5-7 minutes with my fusion razor. Because of this, I sometimes still use a modern razor when time is short.
A great starting kit would be:
1) Edwin Jagger DE89BA11 - Great razor for any level of experience. Cheap too.
2) Vulfix 660S Medium Super Badger Shaving Brush - Great brush for the price
3) Tailor of Old Bond Street, St James - Citrus scent, really nice and mild. You could also use shaving soap, I find creme works better for me.
4) Styptic Pen - For nicks
5) Alum Block - To help stop any irritation and disinfect the skin
6) Geo F. Trumper Skin food - after shave lotion. This stuff is wonderful.
7) Two mugs. I use mugs I had in the house one is a bit wider then the other, I use that to create my lather. You could make the lather on your face, or in your hand, but I like to use a mug.
8) A stand to hang your razor and brush on. Anything will do.
Finally, my method:
First, I load my razor with a fresh razor blade. I typically use a blade for 2-3 shaves. They are cheap enough and I prefer a fresh balde. My razor is a Edwin Jagger DE89BA11, which is an amazing razor for anyone, especially a beginner and is fairly cheap. I then take two mugs and fill them and the sink with hot water. The cups are in the sink, but the sink water does not completely cover them. This allows the heat from the sink to keep the cups hot throughout my shower (This also keeps the mug warm enough that my shaving creme is also warm, which is very nice). I put a few drops of glycerine into one cup and add my brush. I then take a hot shower. At the end of my hot shower I place a few drops of pre-shave oil on my face and rub it in well on the spots that tend to cause me the most trouble (I use shave secret from walmart it's amazing for how cheap it is).
Now that I am prepped, I then drain the sink and the mug without my brush in it. I take my brush and allow some water to flow from the brush back into the empty bowl. I then load my brush up on shaving cream. I like Tailor of Old Bond Street, Geo F Trumper, or Poraso. I then work the lather up in the mug using the mug with the water/glycerin to add water if the lather is dry. Once lather is completed, I re-wet my face with hot water and take the brush to it.
After that I just shave 3 passes, rinsing my face lightly between passes and re-lathering. I then rinse well with cool water, apply a alum block to the face, and then clean everything up. Once clean I rinse again with cool water and apply my aftershave lotion (I like the West Indian Extract of Limes Skin Food).
When I use a normal razor, I basically follow the same process, only I only do 1 pass and can make that pass at about twice the speed. Even if I ever stop using my DE razor. I think I will keep this method for creating the lather and applying it to my face. The experience is just much more pleasant with much less irritation compared to the canned shaving gels I used before.