<p>There must be a trick to doing a good job of applying Kapton tape on a printer bed plate…</p>

<p>We built a Bukobot and even with a great deal of care ended up with bubbles under the tape and occasional overlaps. I'd appreciate any pointers.</p>

There are several things you could try without spending much but even PLA will warp on an unheated bed.  I had a Legacy Kossel that I switched to an acrylic bed and had many issues with warping and prints pulling off the bed.
Some cheap things to try would be...
Adding a brim to the print.
Blue painters tape on the acrylic, remove the other material if doing this.
Place cheap piece of glass/mirror on bed and use hairspray/gluestick.
Use hairspray/gluestick directly on acrylic.  You must be careful here because first layer height is very critical to prevent damage to the acrylic from the plastic welding.  A layer of hairspray or glue should prevent it but dial in your height before printing.
If you aren't currently using a fan, you could try sealing the sides to prevent drafts.  I doubt this would change much since you are using PLA but it's an option.
If these are your designs, there are steps you can take to reduce warping as seen
here.
Also many other suggestions
here.