Bus is the best option. Take bus from Majnu Ka Tila/Kashmiri Gate to Bhuntar. Take taxi/local cab from Bhuntar to Kasol.  
 You can cover Kasol, Manikaran, Tosh, Kheerganga Trek.

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Can anyone help with any itinerary or check lists for kasol and nearby Himachal trip for a week  I’m planning it from Delhi  And is June a good time to visit   Also what all options to travel apart...

Can anyone help with any itinerary or check lists for kasol and nearby Himachal trip for a week 
I’m planning it from Delhi

And is June a good time to visit 

Also what all options to travel apart from bus from Delhi

Kasol and Himachal trip