When it comes to placing a power tx inside the same enclosure, these are rules that worked for me:
1. Distance is your friend. The further away from the most low-signal and sensitive part (this is often an input tx) your power tx is, the better.
2. Properly designed toroid power tx is your friend. The power field doesn't radiate as much with this type of transformers (IF they don't overload!)
3. Turning a power tx around and/or on its side can make a huge difference in the induced 50Hz hum and harmonics.
I tried shielding and it didn't help much. Besides, for shielding low frequency it's suggested to use special alloys that are very expensive. So for me, proper tx design and placement worked much better than shielding.
To reiterate some points:
Housing a PSU remotely is not always possible but is preferable.
SMPS trades 50/60 Hz fields for HF filtering, maybe easier, but different.
Toroids trumps (some use magnetic shields for these) , then C-core, R-core, semi-toroidal, with Ei lams at the bottom. Fluxbands, and shielding help a little, not much, orthogonal orientation can reduce coupling some.
Many old transformers were potted in steel cans, reducing external fields and vibration).
A lighter transformer load usually means less mechanical noise. Mechanical coupling is also a factor to consider.
Magnetic shielding at low freq is tough (expensive). The box layout may have to centered around this, and redone if needed. Aluminum is not much of a magnetic shield, unless maybe copper and nickel plated. Steel can shield, but also direct magnetic flux to where you don't want it.
My 2 cents...