Long story, but Bike stopped producing jockstraps back in 2016. The only way to get authentic Bike jocks now is through Ebay or swapping or trading.
The most authentic Bike replica you can get right now is our Meyer Jockstraps. They were the European distributor for Bike and had direct contact with the Bike Factory so when Bike shut down, they approached the factory that made Bike jockstraps to make both the #10 models and the more modern Performance models under the Meyer brand. They're being made using the exact same specs, fabrics and sizing as Bike was using before Bike ended. The only difference is where the Bike logo was is now an MM (for Meyer Marketing).
There are lots of cheap knockoffs out there being made in China and either sold through Aliexpress or being sold to other companies who rebrand them. I haven't seen them all (obviously) but have read reports/reviews about how lousy the quality is with some of them and people complaining that they're falling apart.
As for which model, it depends on your taste and what you like. The #10s are classic with a 3 inch wide waistband. The Performance Jocks are modern with softer plushed (grey) waistbands. The Performance jocks come in either a 2 inch wide waistband version or a swimmer (1 inch) wide waistband.
You can see our full collection of Meyer jocks here:
Classic jockstraps made by Meyer Marketing at the same factory using the same specs of those jocks you loved.
jockstrapcentral.com
Also: if you're planning to buy them from us, hold off until Wednesday (January 27th) as we're having a sports jockstrap sale and they'll be 15% off for the next week.
Finally: I don't run so I can't tell you what style would work best for that purpose but hopefully another member can add their two-cents...