Constrained: combine both products with a single receiver (USB) and cost.
Solution: Keyboard K230 with a tiny Logitech Unifying receiver.
How: Go to the Logitech website, download the software (3s), install following the instructions (2s) and voila!
Plus: compact, reliable, easy operation, convenient typing (almost no noise).
The least: no internet shortcut keys and calculator, cache battery comes off too easily.
Hoping that this comment will help guide your purchase ...