I have a glass protector on my OG Switch, it's pretty much perfect, no dust or bubbles, but that was at the second or third attempt. I think it likely saved my Switch on a few occasions as when I used a wired controller I knocked my Switch dock over a few times, and my screen would have surely been at least scratched by the dock otherwise.
Providing there's no risk of knocking your dock over then some felt strips (can be bought pre cut on eBay etc) may be all you need. Just be sure to ensure the screen and strips are clean of any particles that could scratch before docking. Same goes for any carry case, make sure the soft screen cover flap is clean. If you do that and only touch the screen with clean fingers or a clean microfibre cloth, then you should be fine.
I have a thorough screen protector ritual and I can spend up to an hour applying a protector to get a perfect result, but even then I would say I only successfully achieve that half of the time at most, trying to get a perfect result can be frustrating, time consuming and expensive as you burn through protectors. I'll usually try a full pack and either get lucky or give up.
The tips I can give are:
wearing short sleeves,
wash and moisturise your hands,
wash and dry several small microfibre glasses cloths and use sellotape to remove any particles from them,
do not use a low quality microfibre cloth as these can leave more particles than they remove, (some protectors come with good quality ones and some come cheap disposable ones, the latter can be kept to use after the protector is in place but not before),
cut a long piece of sellotape and hang it from the side of the surface you're using so you can use it to 'clean' your fingertips, especially prior to handling the screen protector,
use a lamp or torch to shine a light directly onto the screen to highlight any particles you can't otherwise see,
use tape to remove as much dust as possible from the as yet unused screen protector,
clean the screen, ideally with glasses/screen cleaning fluid (eg isopropyl alcohol), you may only need to breathe on the screen to clean it but don't use a spray that contains vinegar,
dry with a clean, dry microfibre cloth using circular motions and begin to remove any remaining visible dust, paying attention to the edges where dust can get stuck, use dust removal stickers as necessary,
once it's 'like new' clean, hold a new clean cloth lightly and fashion it into something like a brush tip and gently brush the screen repeatedly from left to right, the goal is to flick any remaining dust particles off the screen, as you do so you should be scanning the screen for dust, do not look at the entirety of screen as you will miss dust this way, focus on small areas of the screen and keep scanning around looking for the slightest spec, this can take some time as you want to be as certain as you can that you have a completely dust free screen,
when you're satisfied, 'clean' your fingertips with the tape and remove the back cover and place the protector, hope for the best, you need to be quick but try not to make too sudden movements that might circulate most dust in the air,
if it's no good then remove and repeat the process from the brushing stage with a new protector, until you run out of attempts. If you're successful then use the applicator card if provided to smooth out any bubbles. I would recommend always wrapping an applicator card or whatever you use in a microfibre cloth, especially if using the card to remove a screen protector.
Hope that's useful to someone.