In Firefox, there's a useful setting that allows you to use TAB key to move between form fields only, skipping links. To do so, open "about:config" page, find "accessibility.tabfocus" variable and set it to 3. It took me quite some time to make Chromium to behave in a similar way. This solution was found here
Edit ~/.config/chromium/Default/Preferences. Find the section called `webprefs`. Add the following line at the beginning of the section:
"tabs_to_links": false,
You can add the line at any place of the section, actually, but keep an eye on commas, they should appear at the end of all lines but the last one. The recipe was not tested on Google Chrome, but I see no reasons why it shouldn't work.