Fediverse is well differentiated into many sites offering similar capabilities to their more well established commercial and proprietary counterpart, and as the time passes their quality is nearing practically production level, apart from Mastodon and Lemmy which are the most known by now it is worth mentioning also PeerTube (Youtube), PixelFed (instagram), Misskey, Calckey and Pleroma (a mix between twitter and tumblr), HubZilla (facebook), FunkWhale(Bandcamp) and OwnCast (twitch).
Here some handy links:
Also or just use a front-end like as Piped (https://github.com/TeamPiped/Piped) or Invidious (https://github.com/iv-org/invidious)
A handy externsion of FIrefox wil automatically redirects you, see https://addons.mozilla.org/en-US/firefox/addon/libredirect/