There are a few trails in various bits of woodland (with varying degrees of legality) nothing in the immediate locale that is worth taking the MTB for I’d say. However you are but a short train ride away from the South Lakes, can get the train from Silverdale or Arnside over the bay (very nice it is too!) to Grange-over-Sands and ride up through the lanes to Grizedale Forest.
Or a drive up the motorway and across. Train is much quicker but then there’s more riding to get to the proper MTB stuff.
The lanes around Silverdale are lovely on a road / gravel bike though if you have that option.