Yes, you can mix and match broom heads with different handles, but there are a few considerations to ensure compatibility and functionality. First, check the connection type: broom heads and handles typically connect via screw threads, clips, or push-fit mechanisms. Ensure that both the head and handle have compatible connection types. 
Second, consider the size and thread type. Handles and heads may have different diameters and thread pitches, so they must match for a secure fit. Universal or standard sizes are often available, but it's best to verify the specifications.
Third, assess the material and weight. The handle should be sturdy enough to support the broom head, especially if it's heavy or used for tough cleaning tasks. Materials like wood, metal, or reinforced plastic are common for handles, while broom heads can be made of various materials depending on their intended use.
Fourth, consider the purpose and ergonomics. Ensure that the combination of the broom head and handle suits your cleaning needs and is comfortable to use. For example, a long handle might be better for reaching high places, while a shorter one might offer more control for detailed work.
Finally, check for any brand-specific compatibility issues. Some manufacturers design their products to work best within their own range, so mixing brands might require additional adapters or may not be possible.
In summary, while mixing and matching broom heads and handles is generally feasible, ensuring compatibility in connection type, size, material, and purpose is crucial for effective and comfortable use.