So I started trying my hands at binary puzzles and I was making progress at first and then hit a wall. What are some strategies for when the easy cells are solved (no three in a row, even numbers of 0s and 1s).

I've once again found myself stumped by a puzzle. After a few hours of staring at the page and not finding a single thing to add, I've decided to once again turn to this community that's been so helpful in the past. Can anyone walk me through the next step that I'm clearly overlooking?

Rules: Shade in some cells to represent mercury into the thermometers. Shaded cells must start at the round bulb and continue along consecutively towards the other end of the thermometer. Numbers outside the grid indicate the number of shaded cells in that row or column. Some thermometers may have no mercury at all. Rows and columns without clues may still have mercury.

Source: Pulze Volume 3.