Firefox with containers, uBlock Origin, and that extension from the EFF, privacy something. Forks would need to be from someone very trustworthy to gain the same trust Mozilla has earned from me over many years.
It lets you define several cookie+local storage spaces, each isolated from the rest, and from private browsing. This way you can open random sites in the Default container, work sites in the “Evil Corp.” container, Furry fanfic sites in the “Guilty pleasures” container, etc.
With a container-aware cookie manager extension, you can even clear a whole container without affecting the rest.