Those capacitors are commonly available.
If you pull apart an existing transformer, count the turns of wire as you unwind them. Save all the hardware like insulation and terminal connection strips. These might be hard to replace.
Then you can work out a "turns per volt" figure for the transformer. This is often a figure like 3, 4 or 5.
Then calculate the new number of turns for the output voltage you want.
It will be obvious that if you put more turns of wire into the same space, the wire might have to be thinner for it to fit.
Also, you cannot depend on the insulation on the wire to isolate windings from each other. This applies particularly to the mains winding. The best transformers have the mains winding and the other windings on different plastic frames so that leakage between the windings is much more unlikely.