How Bulky is the Classic Birdlocked? Especially Compared to the CB-3000?

As a trans woman looking to acquire a new chastity device, I’m mostly leaning toward the Birdlocked. It’s affordable and easy to locate, reportedly quite comfortable, and very hard to pull out of. My main worry is that for a trans woman… large, bulky devices are tough to hide under snug clothes without looking awkward. I previously wore a KTB, which was no trouble at all to conceal, but I want something with less “oh my god pain” (and also easier to grab from nearby shops). The Holy Trainer is on my radar, yet a) it seems too easy to slip out of and b) I can’t find it locally. I’d rather pick one up before the weekend ends. The CB-3000 was somewhat bulky when I had it. How does the classic birdcage compare regarding how well it hides under clothes? Worse, similar, or better? I suppose I could just wear A-line dresses while wearing it… but that feels a bit restrictive:/