It stands true that ..."the finer the cut" .......... the less mess to clean !
I use either 32 TPI (teeth per inch) or 36 TPI .............Metal Jig Saw Blades.
I prefer: 2 3/4 inch long.
Sometimes they are hard to find at your local hardware store. I purchase off Ebay.
No particular Brand, tried many, find no difference.
Also, If you go to... www.cripedistributing.com .... they have 130+ to choose.
(I have no affiliation with them.... they also sell on Ebay)
Hope this helps ........... Enjoy the Birds !