Amazon Echo Dot (3rd Gen) and Google Home Mini are almost the same sizes (new echo-dot is slightly more). Eco-dot is a hockey puck-shaped gadget that has fabric-covered sides and buttons at the top, while the house hides its touch-sensitive controls under a small-fabric dome. Echo Dot is available in Light Gray, Dark Gray or Off-White when you can choose Google Home Mini in Chalk, Charcoal or Coral (aka White, Gray or Pink).
Connects to its power supply with echo dot barrel connector, and Google Home Mini uses a USB power supply. Both need to connect power full time, but you can buy a third-party battery dock for one of them. Both of them have a fairly low profile to fit in almost any place in your home.