Should a Buddhist lay-practitioner schedule his/her daily life
Routine is a good thing to have for a Buddhist, I believe. While this will vary person to person based on their circumstances, these are my suggestions to incorporate in a daily routine of a lay Buddhist. 

Throughout the day continue to 


maintain and develop the 10 skillful deeds. 
efface and prevent the 10 unskillful deeds.


http://www.accesstoinsight.org/tipitaka/an/an10/an10.176.than.html

These 2 items were recommended by the Buddha as daily contemplations, almost must haves in any schedule.


Recollect the 5 daily subjects of contemplation as part of the morning, afternoon or evening ritual
http://www.accesstoinsight.org/tipitaka/an/an05/an05.057.than.html
Perform this check in the evening. 
http://www.accesstoinsight.org/tipitaka/sn/sn22/sn22.101.than.html


Once a week keep the Uposatha practice: 


The Buddha's strong recommendation of this practice is found
here: http://www.accesstoinsight.org/tipitaka/an/an10/an10.046.than.html
Details of the practice is found here: 
http://www.accesstoinsight.org/tipitaka/an/an03/an03.070.than.html


There are many other beneficial contemplations and practices that can be incorporated into a routine. 

Do share your routine once you have compiled it. 

May you be happy -/\-