Movement & stretches with deep breathing will definitely help to improve the circulation and help in releasing the stiffness. Releasing the muscle tension due to mental & emotional stress can be managed well by practicing breathwork and relaxing meditations regularly.

Gentle stretches such as straddle stretch, cat&cow, seated forward fold, chair twist, standing mild backbend, gentle neck movements etc. Will be very helpful if done regularly. 
If one is a beginner in understanding how these should be done in a risk-free manner, it's best to start with an expert guidance.

Muscle stiffness can also result out of poor hydration. Step up your water intake & see if that helps !!

Muscle stiffness

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