Yes, it does get easier.
I go about gearing up characters a specific way: characters only get geared up when I have everything to relic them in one go and when they have a full modset built for them. Because this generally takes awhile, I can accumulate a lot of zetas without really focusing on getting them.
Like others have said, either work on one character at a time or one specific team at a time. Spreading yourself too thinly early on will just stunt your growth. Also, giving zetas to characters who aren’t get 7 stars or is without a team to use them doesn’t serve much of a purpose