Try searching name:Charizard set.id:swsh4 to get all cards with "Charizard" in their name, but only from the "Vivid Voltage" set!
Danemon supports two main "ways" of searching - either "simple", or "complex".
Simple searching is the default search method. It will search for cards whose name match the value you entered in the search box. For example, if you search for Charizard, you will get all cards that have Charizard in their name.
Complex searching is a bit more advanced, but allows you to search for cards based on a variety of criteria. For example, if you search for name:Charizard rarity:vmax, you will get all VMAX cards that have Charizard in their name. You can also search for cards based on their set, rarity, type, and more!
See the docs for more information!