Looks like you are actually based some distance from the Lake District. Presumably you would tour the poplar Lake District villages of Windermere, Grasmere etc.
If you drive through Windermere, consider a side trip to the highest pub in the Lake District, the Kirkstone Pass Inn. Drive up the A592 from Windermere and return via the old Kirkstone Pass Road (or the reverse). http://www.kirkstonepassinn.com/
Or continue from the Kirkstone Pass to Patterdale and Ullswater. From Patterdale you could do a short walk to Angle Tarn, considered by some the prettiest tarn in England. http://www.lakedistrict.gov.uk/visiting/thingstodo/walking/walks-blog/angle-tarn-the-best-tarn-in-the-lakes
Or from Patterdale you could do a longer walk Helvellyn via Striding Edge is a classical walk:
https://en.wikipedia.org/wiki/Helvellyn#The_eastern_ridges
Helvellyn (pronunciation: /hɛlˈvɛ.lɪn/) (possible meaning: pale yellow
moorland) is a mountain in the English Lake District, the highest
point of the Helvellyn range, a north-south line of mountains to the
north of Ambleside, between the lakes of Thirlmere and Ullswater.
Striding Edge is a popular route which involves some scrambling,
linking the summit ridge of Birkhouse Moor to Helvellyn's summit by
what becomes a sharp arête. Striding Edge begins at Hole-in-the-Wall
and then stretches for over 1.5 km to the Helvellyn summit plateau.
This starting point is accessible from both Glenridding and
Patterdale.