Yes, traveling by bike with young children is possible! However, for baby's comfort, we do not advise you to take him on a cycling trip before he is 9 months old.
As soon as the child knows how to sit up and is sufficiently toned, you can use a suitable and approved child seat (limit 20 kg). He will thus be able to enjoy the landscapes and the shocks will be cushioned. The bicycle trailer has the advantage of offering an enclosed interior sheltered from bad weather and allowing little ones to fall asleep more comfortably (limit 45 kg).
Finally, don't overestimate your ability to transport a child by bike or tow a trailer.