Serrated knives on lemons, limes, and tomatoes are game changers.My sharpest pocket type is a #8 Opinel and a number 1 Mora. These are camp and kitchen knives more or less. The Mora is nice for slicing limes.
For quick fixes, I keep throw away knives from the Dollar Tree on hand in a drawer (1 regular, 1 serrated bread knife). They can be knocked around and thrown in the dishwasher.
For regular cooking, my wustofs have survived more than 20 years in several kitchens (with a separate wustof knife block at home). I also keep a block of other budget knives for guests to use.