Bluetooth allows for short range wireless connectivity between other Bluetooth devices. You can even use your BLE enabled smart phone with the free BLE Connect App to connect and control your board.
This page contains all of the Bluetooth enabled CircuitPython compatible boards and a bit about the features of each one. You know you want Bluetooth, now to figure out what other features will work best for you!
Provides BLE connectivity via the nRF52840 processor.

The Circuit Playground Bluefruit, running an nRF52840, is an all-in-one board designed to get you started with programming an electronics. It's loaded with all kinds of LEDs, sensors and inputs, including an accelerometer, light, temperature, and sound sensors, touch pads, buttons, switch, NeoPixel LEDs, speaker, and more. Additional capabilities can be added via the alligator clip friendly pads.
This is an excellent beginner choice that does not require any soldering. In addition to Arduino there is some MakeCode support as well.
Provides BLE connectivity via the nRF52840 processor.

The Adafruit CLUE is a Bluetooth Low Energy enabled board in the micro:bit form factor with a built-in 1.3″ 240×240 Color IPS TFT display. It includes two buttons, and light/proximity/color, 9-DoF motion, sound, humidity, and pressure/temperature sensors. There is a STEMMA QT connector to make it super simple to connect many other sensors and breakouts to your project with no soldering necessary.
It's perfect when you want all the sensors and a screen + two buttons built in. The micro:bit formfactor is excellent when you want to plug in various accessories
This is an excellent beginner choice that does not require any soldering, and has just about every sensor.
Provides BLE connectivity via the nRF52840 processor.

The Adafruit Feather nRF52840 is a Bluetooth Low Energy enabled board in the Feather form-factor. This means you can add Bluetooth to any of the many FeatherWings available. You can power it with and charge a lipoly battery.
This is a good choice if you want BLE connectivity in the Feather form factor.
Provides BLE connectivity via the nRF52840 processor.

The Adafruit Feather nRF52840 Sense is a BLE enabled board packed with sensors including light/proximity/color, 9-DoF motion, sound, humidity, and pressure/temperature sensors. Since it's a Feather, you can add BLE and these sensors to any of the many FeatherWings available. You can power it with and charge a lipoly battery.
It's kind of like a CLUE but without the screen, buttons, buzzer or micro:bit connector. On the other hand, its a lot smaller and has lipoly charging built in.
This is a good choice if you want BLE connectivity in the Feather form factor - plus some built in sensors.
Provides BLE connectivity via the nRF52840 processor.

The Adafruit ItsyBitsy nRF52840 makes it easy to add Bluetooth to smaller projects or projects with smaller spaces. It includes special Vhigh output pin to give you the higher voltage from power, for driving NeoPixels, servos, and other 5V-logic devices directly.
This is a good choice if you want BLE connectivity in a small form factor.