You can use a standard profile polariser or a low profile ('slimline') one. There is no vignetting with this lens. However, the specific lens hood for the 45/f4 is a clip-on type and will not work on most slimline filters e.g. B+W with no front-filter threads; there must be a filter thread for the tangs to grip into. The hood is a low profile affair in itself and many people (wrongly!) assume it is not up to the task of protecting against stray light striking the lens. It is. The hood has been designed to clear the wide angle of view of the 45/f4, and it does well for off-axis stray light. The rest is up to the photographer!
You can use either a linear or a circular polariser with the P67, which has a rudimentary TTL meter (circular polarisers are required for modern-era matrix/evaluative/3D/ whatever they are called type meters). And linear polarisers (where they can be found) are cheaper to boot.
I have not seen an after-market hood for the 45mm f4; maybe JJD (Chinese) makes one; howevver I think the original/OEM would be a better investment -- unfortunately these things can be quite pricey, but looked after they will last a long time.
My first lens was the 55mm f4. The second was the 45mm f4. The third was the 165mm f4 LS. The fourth...oh, never mind. You do know where this "kit building" thing is taking you!?