Doom this is a simple thing to fix. You must apply a clear GLOSS coat over your finished paintwork before you start any weathering or washing panel lines. The gloss coat is up to you but a lot of people (me included) use Future floor polish, however if this isn't available something like Tamiya clear gloss or Gunze clear gloss is just fine.
The gloss coat acts as a barrier and protects your paintwork and allows the wash to flow smoothly down the panel lines. I use MM enamels followed by a Future gloss coat, followed by an artists oils wash. I wipe the residue of my wash away with a q tip lightly dipped in thinner after a couple of minutes, then I use Pollyscale clear flat to finish up.
Cheers
Darren