Well, I've been an avid Trading/Collectible/Customizable Card Game player since I was about nine (I'm fifteen now), starting with a game called Young Jedi (no, my first CCG was actually *not* Pokemon). I played just about all of the non-sports ones, so when I heard there was going to be a Neopets TCG, I pre-ordered four boxes.
After I got my boxes and starter sets, I just read the rulebook. There are about three other people around me who play as well, and a few others who don't buy the cards but will play with decks who make them. Believe me, Neopets TCG is one of the simplest CCG's out there, and although it's not my favorite, it's a great change of pace from some of the *really* strategic ones.
As for 'trading in' your pets, it happens in step four of your turn. Like this:
1. Draw a card
2. Untap all tapped cards
3. Flip over top of Neopet stack IF you don't have three in play
4. Move pets / start contests / play cards / *trade in Neopets*
To trade in, you must first tap it. Then, discard all equipment attached to it, and return it to the bottom of your Neopets stack (if it's basic) or discarding it (if it's experienced). Then flip over the top card of your Neopets stack and put it into an arena tapped, which doesn't have to be the same one the Neopet you 'traded in' was in.
Sorry if it's confusing. Here's an example
On my turn, I have a Faerie Kacheek, Kacheek Shepherd, and a Kacheek Thief in play, all in separate arenas. I decide that the Kacheek Shepherd really isn't helping much, and I want a chance to get some other card out. So, after I draw my card and untap everything I control, I decide to tap the Kacheek Shepherd and discard it. Then I can take the top card of my Neopets stack and put it in any arena.
Also about your comment that the 'Neopets TCG cookie jar', of course that's true but you can really make any strategy work. For example, if you buy the Meridell Starter Deck from the Battle for Meridell expansion, you can tune it with just a few simple cards to make it amazing.
Even the starter decks can be greatly improved with the aid of a couple booster packs. If you are new to the game, I'd advise you to STAY AWAY from Heroes and Villains. Even now, unless the theme of a deck needs them, I will usually only throw in one Hero (for clutch situations) and one, if any, Villains. Everybody looks at their stats and thinks they are amazing, but they are easier to defeat than they appear and usually give the person who defeated them an advantage. I much prefer to rely on my Experienced Neopet abilities since I can use them every turn.
Also, another tip for if/when you get cards from future expansions. Never underestimate Location cards! A lot of them, even uncommon ones, can be pivotal to a strategy.
If you have *any* other Neopets TCG questions, don't hesitate to ask me.

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