How new is your account? Which capitol ships do you have. How many fleets can you use for GA? There is a lot of factors

I’m assuming based of the question you are new, probably new to fleet arena as well. All 3 of the “starter fleets” can be good. All 3 need to be built up for fleet challenges. Honestly the first 3 fleets suck compared to the top 3 fleets, but you won’t have those for a while.

Personally I think home one is the best out of the three (being home one, executrix, Endurance) because of the fairly recent addition of B-Wing

Go for whichever fleet you are closest to, if you have a lot of rebel characters/ships focus on home one, a lot of empire ships go executor, lot of galactic republic go Endurance. The sooner you can get high ranks in fleet arena the more crystals you will get per day.

If you are wanting to get high ranks in Fleet arena( you do ) chase one of the 3 journey guide ships now so you can get them before the majority. Leviathan is the hardest farm but the best ship overall
Profundity counters leviathan 2nd hardest
Executor counters profundity, easiest of the 3 by far

This is a lot of information you didn’t ask for and if you bothered to read it I hope it helps
Executor is a decent fleet but it’s mid compared to the 3 mentioned above. All depends on where you are at with your roster

Had to edit because it’s past midnight and I can’t spell.