For the PIC16F887 microcontroller (U1), you typically need a crystal oscillator to provide an external clock signal, especially if your application requires a stable and precise clock source. The PIC16F887 can operate at up to 20MHz, so you'll want a crystal within its operating frequency range but also consider your application's specific needs for timing accuracy and stability.

Given the information, here is a suggestion that considers a common scenario:

Assuming a choice of an 8MHz crystal with a load capacitance of 20pF, you would:

Based on the above, the connections would be:

Adjust the capacitor values according to the crystal's datasheet for optimal performance. Remember, the exact frequency and capacitors you choose should align with your project's specific requirements for timing and precision.