Is anybody able to recommend software (preferably freeware) or otherwise a library or any other way to neatly visualise and rasterise .las/.laz files, or convert them to e.g. .dem/.shp formats?
In R statistical software, you can use function read.las() from package rlas (https://cran.r-project.org/web/packages/rlas/rlas.pdf) to open the file as a data.table. Also you can use readLAS() from package lidR (https://cran.r-project.org/web/packages/lidR/lidR.pdf) to open the file as an object of class 'LAS' (defined by the lidR package). It can be converted to point type vector file with lidR::as.spatial() and to DEM with lidR::grid_terrain(). (Then use package sp/sf/rgdal to save as ESRI shapefile, and use package raster/rgdal to save as raster file.)
You can use lastools and cloudcompare .and after processing you can use ERDAS Imagine ,or ArcGIS also .....If want to purchase then Smart processing LIDAR and QT modeller is also good .