How many (If any) skills does a familiar get per level?
A standard familiar gets none. Some archetypes (such as the Sage Familiar) have a specified number of skill ranks per level.
Skills: For each skill in which either the master or the familiar has ranks, use either the normal skill ranks for an animal of that type or the master's skill ranks, whichever is better. In either case, the familiar uses its own ability modifiers. Regardless of a familiar's total skill modifiers, some skills may remain beyond the familiar's ability to use. Familiars treat Acrobatics, Climb, Fly, Perception, Stealth, and Swim as class skills.
In theory, as magical beasts, familiars gain 2+Int skill points per hit die. However, any skill points they might have is irrelevant, as this part of the Familiar text makes it so they either use your skill ranks, or they use the skill ranks of a normal, nonmagical animal, never their own.
The Sage archetype changes this, allowing the familiar to gain its own skill ranks in exchange for not getting to use yours.
I am looking at getting a familiar next level (Playing an arcanist). Debating on a Brawler or Sage (I know very different). I am also looking at a Snow Hare or a Raven
If I go Sage I wanted to know how many skills it would have, So 4+ Int (2 must be KS)
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Skills: For each skill in which either the master or the familiar has ranks, use either the normal skill ranks for an animal of that type or the master's skill ranks, whichever is better. In either case, the familiar uses its own ability modifiers. Regardless of a familiar's total skill modifiers, some skills may remain beyond the familiar's ability to use. Familiars treat Acrobatics, Climb, Fly, Perception, Stealth, and Swim as class skills.In theory, as magical beasts, familiars gain 2+Int skill points per hit die. However, any skill points they might have is irrelevant, as this part of the Familiar text makes it so they either use your skill ranks, or they use the skill ranks of a normal, nonmagical animal, never their own.
The Sage archetype changes this, allowing the familiar to gain its own skill ranks in exchange for not getting to use yours.
A familiar is not a magical beast. They are whatever creature type their base is... and are then treated as magical beasts if they are animals for certain things. That is not the same as being a magical beast, though.
Otherwise you are pretty much correct.