I love the name Lyra!! So pretty
Yeah, most get the microchip done during spay/neuter. You can also get any retained baby teeth pulled at that time. Just keep in mind that not all baby teeth are done falling out on their own until about 8 to 9 months. So, it's best to wait until that age to do the spay/neuter and microchip. The least amounts of time you have to put Lyra under anesthesia, the better.
As for the bed, you could do what many of us have done (yes, our Yorkies rule our world) - take the bed off the frame and set it on the floor