If you're trying to no-bomb then you may end up wanting to plan trances for specific attacks (for survival), so that might be at odds with ideal spirit collecting. In any event, I'll just mention a few things I think I can remember.
- Don't collect the spirits from Yuyuko's second spell. Instead, leave them there and damage her third spell as much as you can. Trance just before the spirits vanish, and you can end the third spell before the trance wears off, so you effectively trance the spirits from the second spell as well as from the third. That should probably be your only trance in stage one. If you can trance the midboss and then get another in time to use on Yukuko, then that's even better, though I'm not sure if it's possible.
- In stage 2, whatever you do, you should probably trance the fairies just after the kunai part. That will get you 4 pieces. Then you have some options. You should be able to recharge for the fairies right before the boss, and trancing them gets you 4 life parts (It looks like a lot, but it's mostly bombs there). Whether or not you can charge another trance for one of Kyouko's spells, I don't know.
Alternatively, If you can manage to trance the spirits from the midboss, those will also give you 4. Then kill the pre-boss fairies normally and you should be set to trance one of Kyouko's spells, which will of course help avoid dying, but will also get you a few more pieces, unless you trance the last spell, which drops nothing.
I think option 2 seems like the better one, but I'm not sure if you can recover your trance for the midboss. If you can really shotgun her during the spell, then avoid the spirits she drops until your trance is ready, I think it can be done.
- In stage 3, you'll probably want to trance Kogasa's spell. Capture the nonspell, damage the spell as much as you can, and when she moves away from you, trance and go after her. If you time it right, you can also trance the bonus fairies that appear after she explodes. Then just trance whichever of Yoshika's spells gives you the most trouble.
Since you (probably) won't be trancing those first four fairies that have some life pieces before Kogasa, it might be hard to collect the spirits manually. I found
a trick there where you can loop over the top of the screen to get the spirits easily, if you don't have an easier way to do it.
- In stage 4, most of the early fairies only drop bomb pieces. The last two before the midboss will drop life pieces though, so make sure to kill them before Seiga appears, or the fairies will just vanish. You can then trance those life pieces and end Seiga's nonspell before the trance wears off. Then you can stall the spell to skip some of the wisps that appear right after. You'll still have more than enough time to refill your trance. If you can refill it fast enough, you might be able to trance the spirits Seiga dropped if you avoid picking them up just after killing her. After that, you'll probably want to just trance for survival for the rest of the stage, so do what seems best there.
- For stage 5, you probably want to trance the first set of six big fairies after the ones that fly in from the right (which you can use to easily refill your trance). What you do after that will depend on how well you can collect spirits from the laser shooting orbs. You might trance the next group of six fairies, or you might trance the midboss spell. (They probably yield the same number of life pieces anyway.) The things after the midboss should give you more than enough to recharge for the big spam before the boss.
- In stage 6, be sure to kill the wisps at the end of the stage before killing the lead fairies. The first ones only drop bomb pieces, so you can just clear them away, but you'll want the last few.
I feel like this is the fifth time I've written some big thing about TD. It's fun for some reason, even if I don't really know what I'm talking about. Don't take it as the end-all be-all or anything. Hopefully someone else here knows some other tricks. Further, you can probably find a decent no-bomb run on Youtube or gensokyo.org, if you look.