Most of the time the built-in emoji search works for me. Discord, Telegram etc. can show emojis by just putting the keyword between colons, iirc KDE, Gnome, Windows all have an emoji picker with search (Win + .)
Nice, sadly this is not available for Linux
I have been looking for a simple way to search and copy emojis for a long time and recently stumbled upon emojidb.org.