Blind Lake Sturgeon

Here's the closest, safest place to your garrison...Fly to Embaari Village, Shadowmoon Valley and run a short distance Northeast to the lake in Arbor Glen (48,34). There are no mobs to aggro you here, and plenty of bushes to hide in if you're on a PvP server. (Pro Tip: Press X to sit down in the bushes while fishing, thus making your profile shorter and more easily hidden.)

If you're less than 700 fishing, this can take a while, so use any bait/gear you can to boost your catch rate. If you have a Worm Supreme, you'll catch almost exclusively Enormous Blind Lake Sturgeon which will complete the quest much faster. The bait for the specific fish you're trying to catch will be easy to fish up almost immediately, so you can use that too, though it's more like to give you regular sized fish.

When you have a full stack, right click them to fillet and get the Blind Lake Sturgeon Eggs that you need. You need 10 eggs for the quest. You'll get a little more than half of what you need each time you fillet a stack of fish, so you'll need to fillet two stacks.

20 small fish = 10 regular fish = 5 enormous fish = 1 stack, and this applies to all the fish needed for the Draenor dailies.

Happy fishing!

No Need to fly around each day fishing for these guys. If you keep a stock of them; whether a few stacks of: 5 Enormous, 10 Regular, or 20 Small; as long as you filet them during the daily you will get the eggs dropped from them.
This leads to the next plus, if you purchase the fish in the AH or get some as a gift from a friend or guildmate, you will get the eggs from fileting them too. As long as you have the type of fish for your daily and filet it during the daily you will be able to complete your quest.
If you are working on Draenor Angler don’t just filet them all; hold on to them for your dailies.

The Blind Lake Sturgeon Eggs are acquired by fishing up ten Blind Lake Sturgeons and "using" them. I got 10 eyes for a single stack of 10 fish. The fish can be caught anywhere in the inland waters of Shadowmoon Valley.
You'll often fish up Blind Lake Sturgeon Bait as well which makes this easier to do without pools. It took me maybe 7-8 minutes to get 10 fish at 600 fishing.