How to collect mob spawners
You can't obtain Mob Spawners in Vanilla Survival.
No you cannot get mob spawners. You can only use cheats to get them. I tried mining them with a Silk Touch Pickaxe, but nothing dropped.
If using cheats, type in /give (username here) minecraft:mob_spawner then get a spawn egg and activate it with it and I should summon the creature depending on which spawn egg you choose. Like a skeleton egg for example, will help the spawner spawn skeletons.
There is no way to do this in Vanilla Survival Minecraft. You need mods for this.