Poly Build - move faces (slide faces over surface)

docs.blender.org/manual/en/3.0/modeling/meshes/tools/poly_build.html Its a little bit frustrating when trying to move faces so could there be some shortcut (like shift and ctrl) to move faces (also extrude faces could be handy.

Also other additional functionalities like drawing polystrips would be lovely (it would be better and easier for retopology purpose). Or looptools kind of cicrle option and bevel edge shortucts etc. (when user grab some specific corner and maybe with some shortcut - or.. it could use some new gizmo like vertex,edge and face normals (and when user drag/grab from normal's tip and drag it with cursors it could do something like beveling or rotating the face - at the moment normals are just visualized when it has been activated from viewport overlay but thats it.. it just visualize things but it can not be used to improve workflow - so there could be viewpoer overlay option where user could activate visualized normals to behave like rotate gizmo for faces/edges/vertex?)