I would do a 3 or 4 inch line from the BD gravity fed ( if you can) to a settling chamber or Bio pro filtration system and then to pump. A 2" line is not as effective and may clog up on you if you have a lot of falling leaves.

I would worry that the basket would clog up very fast if it and the pump is put before the filter.

Personally ,I would have the skimmer and pump on its own filtration.

Thanks for the help. If the bd is at the bottom of the 3' pond how do I do gravity fed?

Also, where can I get some info on settling chambers? Does my same pump pull the water from the bd into the settling chamber?

I use a 55 gallon barrels for my settling chamber and filters.

As far as gravity fed lines, Water seeks its own level.

I have my barrels placed with the top of the barrels about 1 inch above the level of the pond water.That way it it will not overflow my barrel.

My BD line enters the first barrel about 1/3 from the bottom of the barrel. Water rushes in from the BD and fills up the barrel to the level of the pond water.

I have 3 inch pvc connecting the second barrel and third barrels and each fills up with water. I have matala round pads in these for my mechanical filtration.

At the third barrel, I have a three inch line reduced to 2 inch connected to an external pump. From the pump, I have a 2 inch line running to my bog filter which has a waterfall weir.
The pump pulls water from the third barrel and pushes it to the waterfall.

I hope this helps. The other thread here about settling chambers has a lot of good advice.