Hi rammstein!

Love the name btw
All of this must be an overwhelming amount of information for you to soak in... If it were my first time I wouldn't understand a lot of what is in these posts...
Back in 2009 I started off with a cigarette-like device (cigalike), then moved on to another, then another. Let me tell you straight out that
you do want one with a button - I know it seems odd and awkward, but the ones with no buttons are like sucking a milkshake through a thin straw, and they can go off just by air blowing on them, which you don't want to happen in your pocket

Also, as others have said, the cigalikes are finicky, they really don't work well. The batteries are too small and last only an hour or two, and I had a lot of issues with leaky cartridges and burnt out coils. I ended up going back to smoking partly due to all these technical difficulties, it is not worth wasting your money!
My recommendations for you:
Liquid - for nic level you want to base that on how much you smoke. If you smoke half a pack a day or less, you should prob start with 12 mg/ml. Between 1/2 pack and 1 pack, go for 18 mg/ml. A pack a day or more, you should prob start with 24 mg/ml. A lot of people will recommend lower nic than I do, but in my experience a slightly higher level will make it easier to quit smoking completely, if that is your goal. You can always cut down the nic later if it's too much. Also, get two different flavors, because you don't know what you're going to end up liking - if you're still unsure of your nic level, you can order them at two different levels and see which one you prefer.
Batteries - since you are first starting out, I would recommend a simple ego or evod battery that does not vary in voltage. The reason I say this is because you're on a steep learning curve already, and I think you should learn how to use the device first before diving into varying voltage and wattage; you can always get one of those later. There are many, many brands that make these batteries, Totally Wicked and Kanger come to mind, but there are a lot more. Make sure you get two batteries - you don't want to not be able to vape at all while your battery is charging! Also make sure you get the charger that is recommended for that battery. It will be USB, so if you want a wall adapter also get one that is recommended for that charger (otherwise you run the risk of overcharging and killing the battery).
Tanks (clearomizers) - You want to start with a simpler tank, and one that fits the ego/evod batteries. Tanks from Innokin (iClear 16 and 16D) and Kanger (protank mini) are good choices for first timers in my opinion. You're going to want to buy extra coils with those, you'll probably have to change them out sooner than you expect (for simplicity's sake, if they offer coils at different resistance levels just get the same as the tank comes with - you can always play with that later).
This is the setup I started with when I went back to vaping in December - 2 plain ego batteries, one charger, 2 Innokin iClear 16's, and 2 different flavors of e-liquid in 24 mg/ml. I quit an 18 year, pack a day habit in one day - and I wasn't even trying!
There are a lot of kits available, this makes it much easier for a first-time buyer to get everything you need. Most kits come with one or two batteries, one or two tanks, and a charger. Some will throw in a bottle of liquid for you. Just make sure in the end you have:
2 batteries
1 charger
1 adapter if necessary
1 or 2 tanks (2 is preferred)
A pack of extra coils (they usually come in packs of 5)
2 bottles of liquid in different flavors (and maybe different nic levels)
I hope this wasn't too long winded

good luck!