I don’t think a filter strainer is part of the equation on a reducing
valve. A pair of pump pliers….large adjustable pliers some call slip
joint or channal locks….is all you need. There are very good products
on the market…lime away is one…..

I would have a  check valve the filter strainers or aereators on the faucets for lime
deposits first…that is what I suspect anyway. If it really has gotten
to the valve you will need two good pipe wrenches and perhaps learn how
to solder as you don’t inform us how the valve is attached in the
system.

If its old plumping it could mean the pipes themselves are coated badly and thus need replumbed.

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Usually available in models with or without a

 the reactor using two co-accused of the variable

High pressure valve, low pressure valve