The term "bed in" has a number of synonyms that can be used depending upon the context. For instance, in the context of construction and civil engineering, you could use the term "laying" to refer to the process of placing a structure, such as a pipe or cable, into a trench or other excavation. Alternatively, in the context of gardening, "planting" could be used to describe the process of putting a sapling or seed into the ground to take root. In a more figurative sense, "incorporating" could be used to convey the idea of something becoming a part of something else, such as when a new piece of technology is integrated into an existing system.