At 5mg you are just getting to the point where adrenal function must wake up and start to produce cortisol again. Until now pred has replaced it but for a time the pred is not quite enough and you are a bit low. That can cause fatigue and dizziness.
A low blood pressure is a common problem with adrenal problems so sounds like what everyone else is saying.... Slow down and let your adrenals do so catching up.
I found being on 5mg a bit like 10mg. Needed a longer stay at that dose to come down successfully. After 5mg my reduction steps were slower and def no more than 0.5 at a time. All sorts of strange things pop up but not necessarily linked to pmr/pred. We get older!
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