  We consider almost Riemann and almost Ricci solitons in a $D$-homothetically
deformed Kenmotsu manifold having as potential vector field a gradient vector
field, a solenoidal vector field or the Reeb vector field of the deformed
structure, and explicitly obtain the Ricci and scalar curvatures for some
cases. We also provide a lower bound for the Ricci curvature of the initial
Kenmotsu manifold when the deformed manifold admits a gradient almost Riemann
or almost Ricci soliton.
