@Le_Blille
The 4 ships you have worth developing right now are Home One (Ackbar's Cap Ship), Ahsoka Tano, TIE, and Geo Soldier's.
As for ships generally, you want
The two Phoenix ships, they're key both early game and endgame.
DarkSide ships you can get to 5* easily in order to start collecting zetas.
You also want Rebel ships so eventually you can put together a Millennium Falcon squad
and
You want Bounty Hunter ships so you can get the Millennium Falcon itself.
So... how do you go about this?
1. Prioritize gearing Ackbar and Ackbar's capital ship. This is the cap ship you're going to be relying on for quite a while. Tarkin needs some gear, and you'lll have to level his capital ship (Executrix), but don't spend any prestige on leveling its abilities. Use all your prestige on Ackbar right now. Your fighters will win the Zeta challenge, not Executrix
2. Collect Vader's ship as available.
3. Immediately start farming the Hound's Tooth (which is the same node as Jango, so that will be extra helpful) because it is literally the best ship in the game, but it's a slow farm. Just plug away using 100 energy a day. It takes a good long while, but don't despair. When you get this thing to 6* or so it's going to be so amazing and it will only get better.
4. Use GW tokens ONLY on ships for a while. Collect all the ships that routinely appear there. These include Biggs (a good tank to pair with Darth Vader and Tie Fighter Pilot) and a couple Geonosians (Spy and Soldier)
5. Use Fleet tokens ONLY on ships for a while. You'll pass up a couple of zeta materials you could grab, but the investment will pay off with more crystals and zetas later. Zooming up Tie Fighter and Tie Fighter Advanced (TFP and Vader's ships) is pretty easy (Vader's takes a bit longer).
6. Clone Sergeant is another good ship to get (and available with fleet tokens), but it doesn't fit into any early necessary teams (you need dark side for zetas, rebels for Ackbar synergy and to get Thrawn's ship, BH to get the Falcon). As attractive as it is, you'll want to put clone Sergeant on a tier below those other ships. You can quickly level and gear the ship as soon as your other priorities are done.
7. As soon as you have completed the zeta mat challenge with whatever characters were convenient to you (probably TIE, TIE Advanced, 2xGeonosians + Kylo Ren Unmasked's TIE Silencer + one or two (if TIE Silencer isn't ready) 2 bounty hunter ships that were easiest for you to farm - likely to be Slave 1 and Hound's Tooth), it's time to go full speed on Bounty Hunter ships (Hound's Tooth you've been steadily working on, Slave 1 is easy to get, but now you need IG-2000 and Xanadu Blood)
8. If they're easy to get, don't be afraid to add ships for toons you plan on gearing anyway. It's good to have extra ships even if they don't fit into your short-term plans during the early game. They'll be useful in Grand Arena Championships and also for fitting into platoons in Territory Battles. The best way to do this is to pick up extra ships with GW tokens. You can get a bunch of good Galactic Republic ship blueprints there for characters you'll eventually gear up anyway. Ahsoka Tano is like this. Same with 5s ship the Umbaran Starfighter and Jedi Consular's ship. Pick those up, but prioritize the ships in your plan when you have to choose. The only characters you need early that are in the GW store are CadBane and Biggs, so once you have those, it's full focus on ships in the GW store for quite a while.
9. Finally, especially for the ships in step 8 but really for any of them - don't be afraid to leave a ship at level 1. If you have 3 great Bounty Hunters, you can still get the Falcon with the fourth BH ship at level 1, but it has to be 5* to unlock and 7* to complete the Falcon because otherwise you just don't qualify. Qualification is based on stars, not levels and gear. Never forget that it takes a long time to get ships (and characters) to seven stars, but it doesn't take that long to gear them and level them if you are working on only one character or ship at a time. They aren't useless at 7*/level1/gear1. Don't panic and give them just a few resources. Don't be afraid to collect shards or blueprints for ships or toons when you have no money or gear to improve them. The weird truth is that while it takes a long time to star things up, you can work on a lot of different ships and toons at once. When it comes to gear, you'll work on only one character at a time. It seems a waste to have a bunch of 7* toons and ships sitting at level one while you have 20 toons at level 80/gear 9, but it would be much more of a waste to have all your ships and toons at level 40/gear5 and none at level 50/gear 6. A few great ones, the rest waiting on the sidelines, ready to come in only when you've decided you need them right now. That's how things will work out best for you.
If you've gotten as far as this, the meta has shifted AND you also have a better idea of what is fun for you to play. At that point you should be determining your own priorities, but this list will give you the early strategy for efficiently collecting the must-haves.
Good luck, have fun, and let me know if you need an ally.