No need to be embarrassed! We've all had areas in which we've struggled and we all have room to grow.
One of the ways we manage screen time is we simply don't have a lot available to our children in our house. We have consciously chosen not to have any kind of gaming systems, iPads, iPhones, cable television, etc. We do have one television in our home, which we closely monitor. Since the TV is located in a central location, off of our dining room and kitchen, it is only turned on with permission, and never during school hours. (When it is turned on, we only allow the children to watch PBS or a DVD.) The only other "screen" available is our computer, but that has a password that only my husband and I know.
We manage free time by utilizing a schedule. Our school hours are very structured, with my children either working on their schoolwork, taking recess (outdoors, where they play actively), listening to me read, reading independently, practicing instruments, or completing tasks. When I am working 1:1 with one child, the other child has a specific task they are assigned. For example, when I am doing 1:1 history with my son, my daughter is assigned to play in her room (which has no technology other than her CD player); when I am doing 1:1 math with my daughter, my son is assigned to finish his English assignment, and so on. Outside of school and music practice time, the children also have a couple of hours of assigned chores scattered throughout their day. With them being scheduled, they are productively occupied and screen time issues are eliminated.
Although they have several recesses earlier in the day, their only truly "free" time is for about an hour and a half in the afternoon, when I am available to monitor their activities. They will occasionally ask to research something on the computer or watch a DVD during this time, and we sometimes do allow them (moreso when I am tired

); however, for the most part, we encourage them to engage themselves more actively, such as playing with Legos, Playmobil, games, toys, reading or for my son, working on science kits & writing music and for my daughter, doing crafts & playing with her stuffed animals and dolls.
At bedtime, my husband reads to each child and then it's lights out. The children have never been allowed any "screens" in their bedrooms, but we do allow them to listen to music CD's as they fall asleep.
I hope this help!
