Popular Models:

Pyle PMXU43BT: A budget-friendly 4-channel mixer with Bluetooth, offering built-in effects, EQ controls, and USB playback.
Alto Professional ZMX52: A 4-channel mixer with Bluetooth, providing high-quality preamps, EQ, and a compact design suitable for small setups.
Yamaha MG06X: Though it lacks built-in Bluetooth, this model is a highly rated compact mixer with studio-quality preamps, effects, and robust build quality. You could pair it with a Bluetooth adapter for wireless streaming.

Effects:
Many of these mixers have built-in digital effects like reverb, echo, delay, and more, which can be applied to vocals or instruments.
Equalization (EQ):
3-band or 4-band EQ controls for each channel allow you to fine-tune the audio frequencies (bass, midrange, treble) to suit the environment or desired sound.
Aux/Monitor Outputs:
Auxiliary outputs let you send audio to monitor speakers or external effects units.
Master Control:
A master volume control regulates the overall sound output, with additional options for adjusting master EQ and effects for the final mix.

Usage Scenarios: