The usual DC power supply today, any voltage, is transformer- rectifier- capacitor, with optional resistor/choke- capacitor filter stages.
The raw DC voltage is 1.4 times the transformer AC voltage, possibly sagging to 1.2 times the AC voltage.
So for stages not sensitive to hum, select transformer voltage about 0.7 to 0.8 times desired DC voltage. For a 250V supply, use 175 to 200VAC.
Because rectifiers used to be expensive, many tube-culture power supplies use a center-tapped transformer with two rectifiers instead of one winding with four rectifiers. In this case the total VAC is double what you calculated: 360VAC CT will give about 250VDC. (But fashion is changing to specifying this as "180-0-180", which is clearer.)
The AC current rating must be at least twice the DC current needed. (If you use the center-tapped affair, the AC current can be equal to the DC current.)
The rectifiers must be rated for the full current of the transformer (not the load), and twice the DC voltage, and always be generous. Cap-input supplies are very hard on rectifiers, and even if you are not pulling large DC current there will be huge transient spikes on every cycle.
Use at least 1,000μFd of first capacitor for every 1 Ampere of DC current. Older tube amps often used less, because caps were expensive. These days big caps are quite cheap so be generous. I have used 80,000μFd/Amp when I needed a very simple but low-ripple supply.
When you need "clean" power for low-level stages, you add several LC or RC stages. For RC filters, plan on one RC stage for every 20-30dB of ripple reduction you need. Pick the resistors to drop about 5% to 20% of supply voltage, depending how clean you need, how cheap you are, and how little voltage you can stand. Larger resistors allow smaller caps for the same ripple reduction, but of course drop more voltage. Old hi-fis minimized filter cap costs by starting with 400V for the output stages, then dropping to 200V for the tone stage and 100V for the phono stage, huge filter resistors. But tubes run cleaner with higher voltage, so if you can afford bigger caps you will usually use smaller filter resistors and leave more voltage for the tube.
Filter cap reactance at 100/120Hz should be 1/10th to 1/30th (up to 1/100th) of the resistance, to give 20dB or 30dB (to 40dB) of ripple reduction.