well, since Nitter stopped working I've stopped reading Twitter posts, it doesn't seem like much information value for me was lost, though especially now during Nepal floods it would be probably good source of videos, more difficult to skim through them on Reddit/4chan, if one is interested in videos of disasters

Self-hosted Nitter still works for now, it is what I use to read X posts. You do need an (or, better still, some) account(s) but those are easy to create for now. The account(s) don't need any history, freshly-minted free accounts do just fine.