Hi Philip
Usually model engineering pumps use simple O-rings. Nice and cheap.
Bicycle pumps use directional seals, which are a sort of cone shape, so that the withdraw stoke admits air past the seal, and the power stroke forces the seal against the bore.
You could have either, I would suggest that an O-ring would normally have a groove with shoulders of similar diameter, the shoulders certainly have to come past the half way point to secure the O-ring.
Other seals won’t have so high a shoulder to allow the cone space to move. I don’t know where you would find such a thing but I bet google does. Amazon and eBay usually.
I see that this is an old thread so you may have made good progress already.