To lubricate the piston and the #8 rubber ring the Dow Corning Vacuum grease is recommended by experienced people - you can get it on eebay in small jar.
Um... This is incorrect, I'm afraid. Dow Corning High Vacuum Grease (pure silicone) is never to get inside the brake fluid chamber. And, its use on the square section seal will interfere with the seal's "grab" on the piston for proper retraction.
The seal is properly lubed with Brake assembly lube, which can be hard to find these days of replace the part rather than rebuild.
The Silicone grease IS used on all bare metal parts that are exposed to the weather, as it will shed water, prevent oxidation, won't bleed, and still stay where placed when it gets hot enough to melt petroleum greases into ooze, (which will foul brake pads and rotor).
There is a FAQ entry for front caliper overhaul, if interested.
DOT3 and 4 can be intermixed, but the result is a fluid that is only as good as the lower capability, DOT3. So, there is no benefit to mixing them. They are both Glycol based, FYI.