Under normal circumstances, not having a house in Yantai will not affect children's primary school attendance. As far as I know, China's Compulsory Education Law stipulates that all school-age children have the right to receive basic education regardless of whether they own real estate or not. Therefore, even if there is no house in Yantai, children have the right to go to primary school. Specific admission policies and procedures can be consulted with local education departments or schools.
It should be noted that each region may be different according to different local educational resources and policies. I suggest you contact the local education department or school directly to get the most accurate information.