I've been trying to come up with a list of things that people new to trad climbing should keep in mind when placing gear, cleaning gear, evaluating gear, and building anchors. The usual disclaimer applies: This isn't meant to be instructional, it is a guide to help experienced climbers.
Evaluating Anchors
My favorite mnemonic for evaluating anchors is EARNEST. Many climbers learn SRENE, but EARNEST is more comprehensive. SRENE isn't even spelled correctly.
As for how to tie together a belay anchor, I discuss that here.
Evaluating Gear
I've never seen a comprehensive list much less a mnemonic for evaluating the placement of a piece of trad gear. So with the help of a friend, I came up with one. Let me know what you think. The mnemonic is SCORED. As in, "hey brah, you totally scored a bomber placement there." It only works if you say it that way, according to Ms. Pants, Acronym Designer Extraordinaire.
That list is in more or less priority order. Let's face it, after a desperate runout, you don't care one bit about how easy a piece is to clean. Rock Quality should be closer to the top of the list, but SRCOED just didn't seem like a good mnemonic.
In addition to a visual evaluation, all gear should be given a "jerk
test." That means your climbing placements should have some jerk tug on them.
This means that you should give your pieces a sharp tug in the direction of
anticipated pull. Be sure to have a solid stance when you do this!
Gear that pops unexpectedly will throw you off balance, and probably hit you in the
face too. And you'll drop it, so clip it to the rope first. Given all that,
why perform the jerk test? Because both in theory and in practice it is a
good way to see what the gear will do when you fall. Especially for cams -- where
the holding force of the cam increases as the load on the stem increases -- if
the cam holds a jerk test it should also hold a large fall. There is no theoretical
difference between the two. With nuts, a good solid jerk helps set them in
place and reduces the chance that they will come out due to rope drag.
This discussion of evaluating gear doesn't cover when to place gear. John Long says in one of his books, "never pass up an opportunity to place good gear." Or something like that, I can't be bothered to look it up right now. Obviously the most important consideration is placing gear which will keep you from hitting anything if you fall. And keep in mind that with rope stretch and slack in the system, you will fall much further than you expect. Other considerations are the ease of placement and cleaning (as a tall guy, I try to be considerate of shorter seconds), and what gear you will be needing later in the climb (especially before the crux and at the belay anchor). When the climbing is easy for me, I tend to cruise up the climb with my eyes open for obvious placements, and I take them when I find them. When the climbing is hard, I'm much more focused on getting gear at every decent stance and protecting myself from hitting anything should I fall.
A final topic in evaluating gear is evaluating fixed pieces. Here is my motto (at least for the Gunks) "always clip them, never trust them." Old pitons and manky fixed gear will probably catch a fall, but you never really know. Still it doesn't hurt to clip gear as you go past. It is especially nice to clip an old piton so you have a toprope as you fiddle with the tiny cam you are placing in the crack right next to the piton. You can even reclaim the draw after you have bomber gear next to the old fixed piece, it only takes a moment. The only time I don't clip gear is when doing so would cause significant rope drag or if it seems likely I'll run out of draws before the end of the pitch. And at the Gunks I always carry a screamer for the first piece of fixed gear I encounter. A screamer won't turn a rusted old lost arrow into a stainless 1/2" bolt, but it makes me feel better. And don't forget to tell a new second when you clip fixed gear least you end up waiting 20 minutes while they try to untie all the tattered webbing at a rap station.
Cleaning Gear