Coins
The currency you spend to unlock an episode past the free run. Coins you buy and coins you are given behave the same at the till — bonus coins are simply spent first, because they expire and purchased ones do not.
Free episodes
Every series opens with a run of episodes that cost nothing. The count is set per series, so some open wider than others.
VIP
A subscription that unlocks everything while it is active. If you finish more than a few series a month it is the cheaper path; below that, coins usually win.
Your list
Saving a series puts it in My list on your dashboard. You do not need an account to save things — but making one keeps the list when you change device.