We were too busy getting you oriented to deal with this following issue.
The easy hike from Männlichen to Kleine Scheidegg (referred to by some locals as "The Grannies Walk") is best done from Männlichen to Kleine Scheidegg. While some are noncommittal about that, I am not. If you don't do it in that direction, you are missing a very special experience.
If you walk the mildly uphill hike from KS to M, you will find that you are stopping every few minutes to look behind you, or else you will learn to twist your neck 180 degrees, while walking up a modest incline on a gravel path.
Seriously, one of the special experiences of the region is to walk from Männlichen to Kleine Scheidegg, after the trail is open for the hiking season sometime in mid-June. Even my least favorite travel author, Rick Steves, suggests that .
Because you walk toward the Eiger, and it grows over you. You probably know the history of climbing on the North Face, which is what you walk toward. "Eiger " translates to "Ogre." The mountain is grim as you walk toward it.. I and others find it an emotional experience.
At the risk of suggesting a downhill walk, hard on the knees, you might consider taking the cableway from Grindelwald to Männlichen, walking from Männlichen to Kleine Scheidegg (mildly downhill) , and then walking down toward Wengen, or, hiking up a modest distance from KS ( or ride the train) to Eigergletscher, then walking across the base of the North Face, on the Eiger Trail, then down 400 meters to Alpiglen, stopping to enjoy the famous Chäseschnitte at the inn at Alpiglen, and then walking or riding from there to wherever you wish , with a full stomach.
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If you don't understand that option, check some maps before your reconnaissance. Or, ask.