Considering the complex pathogenesis of Alzheimer’s disease (AD), the multitarget ligand strategy is expected to provide superior effects for the treatment of the neurological disease compared to the classic single target approach. Thus, a series of 13 novel (5e-q) pyrrole-based Schiff bases were synthesized by conventional and microwave-assisted condensations, and the compounds were evaluated for MAO-A, MAO-B and AChE inhibitory activities. The chemical structures of the newly formed molecules were elucidated by a combination of spectral methods. The obtained results confirmed the theoretical data. The majority of the title Schiff bases demonstrated good potential towards AChE at 10 μM concentrations, with the most promising compound 5m (58%) exerting a comparative effect to that of the applied standard—Donepezil. 5j and 5o selectively inhibited MAO-B by 26% and 21% (at 1 μM concentration), respectively. The compound condensed with 5-nitro-2-furaldehyde (5j) achieved the best dual MAO-B and AChE inhibitory capacities. In addition to the in vitro analysis, docking simulations targeting the active sites of AChE (PDB ID: 4EY6) and MAO-B (PDB: 2V5Z) were employed to explore the possible interactions of the most prominent dual inhibitor (5j) with the enzymes. Furthermore, in silico ADME and PAMPA-blood–brain barrier (BBB) studies were conducted.