If you really want to have a stable play experience, yes, you'd need to do that in a stable world. I know, it sounds painful to start again. But after finding one, you never have to worry about crashing ever again.
Find a stable world first. It's easier to do this when you have wings and better equipment though. Get a wing,
asap. Generate a new world, explore it quick - ignore loots and chest, it will only slow you down. Or pick em up, your choice. But if that world crashes on you, you'll end up deleting it
anyway to make room for new worlds.
If you do manage to find a new world, time to start moving things. Buy a piggy bank, a safe, and fill that with
your money, all your crafting stations, and your best gear first. Bring lots of chests in your main inventory, and maybe some building materials. Go to your new world, start setting up a
workshop with all your crafting stations and chests so you have places to stash your items on your next trip. Make an infinite house for the NPCs in the meantime - you can
build them better houses when you're done moving.