Yeah I hunt lots more than I shoot targets maybe a couple of shots at a can of thatI use 1842 pseudo / Singles for 9.5mm steel - full-loped 2040 also works well.
Though with the different sizes you may end up with a set for the 2 materials and the 2 sizes. Or maybe one may work for 2 of them - so most likely 3 sets... 1842 pseudo may work for 8mm lead and 9.5mm steel...
Pseudo tubes don't last as long as full looped.
Squares aren't all that great - This was my go-to as a kid - they are very heavy pull and harsh.
You'll need to experiment until you find what works for you. I gather the lead implies you'd be hunting?