Alternatives to "In the grand scheme of things"

You can try

1. at the end of the day

PHRASE

You say at the end of the day when you are talking about what happens after a long series of events or what appears to be the case after you have considered the relevant facts.

[informal]

At the end of the day it's up to the Germans to decide. At the end of the day, the board's not going to be concerned with three or four more dollars.

2. all things considered

PHRASE

You say all things considered to indicate that you are making a judgment after taking all the facts into account. All things considered, I think you have behaved marvelously in coming here.

3. when all was said and done

when everything is taken into account (used to indicate that one is making a generalized judgment about a situation).

either that, or you can opt for a simple adverb(and start the sentence with it followed by a comma)

1. ultimately

ADVERB

Ultimately means finally, after a long and often complicated series of events. Whatever the scientists ultimately conclude, all of their data will immediately be disputed.

2. eventually

in the end, especially after a long delay, dispute, or series of problems. "eventually, after midnight, I arrived at the hotel"

Examples and definitions - https://www.collinsdictionary.com/ and oxford languages(google)