Domain wall (DW) propagation and magnetic properties in as-prepared and annealed Fe- and Fe-Ni-rich microwires are experimentally studied. Observed DW dynamics is discussed considering the effect of magnetoelastic anisotropy, internal stresses relaxation after annealing and domain wall stabilization owing to pair ordering. Additionally, modification of the magnetostriction coefficient related to stress relaxation and formation of nanocrystalline structure after annealing are considered. Annealing allows considerable improvement of DW velocity in Fe-rich and Fe-Ni based (low Ni content) microwires. In Fe-Ni-based microwires the DW velocity increasing is less appreciated. Moreover coercivity increasing after annealing of Fe-Ni based microwires is observed. Consequently, annealing is the effective method for engineering of the DW dynamics in glass-coated microwires. Display omitted •Rectangular hysteresis loops of Fe and Fe-Ni based microwires.•Enhancement of domain wall velocity after annealing.•Dependences of domain wall mobility on annealing time.•Negative critical propagation field values in as-prepared microwires.