If I understand you correctly, you should be there around now. I think a great resource is the tourist office, I have found the people who work there to be very knowledgeable about the trails and they have often given me great advice about what to hike that day.
Here is an online link to hikes in the area. You can look for ones that are the right difficulty for you, and can read about any closures:
https://www.jungfrau.ch/en-gb/summer-sport/hiking/#filter=r-fullyTranslatedLangus-,r-openState-,sb-sortedBy-0&zc=11,7.96097,46.63671
Here is the link for cycling
https://jungfrauregion.swiss/en/destination/about-the-region/cycling-tours.html
Another good resource, you can choose road cycling or mountain biking routes (some hiking routes are on here as well)
https://schweizmobil.ch/en/summer
Cycling route #8 from Interlaken to Thun is really nice, along the Lake of Thun.
There are bike rental places in Lauterbrunnen, and you can also rent bikes from many train stations. Some will even allow you to pick-up at one station and drop-off at another.
https://www.sbb.ch/en/tickets-offers/private-transport/bike-rental.html