IMHO light strips might not be the right solution in this case. The typical led strip adheres to the object and the adhesive is not the greatest. (it can be changed or expensive enclosures can be added) I feel like this would be an opportunity to play with something that a toddler shouldn't be messing with. Instead, I'd put a smart bulb in a lamp and place a motion sensor to trigger when your little's feet hit the floor. Much safer. NOT that you always leave your little unattended, but it only takes 2 minutes and pretty light strips seem very enticing. Otherwise, another option would be to elevate the strips into a piece of molding around the top of the room on the wall and have a plug installed that is hidden by the molding. That would be something to last for years. You'd still need a motion sensor to trigger when they get out of bed (under the bed somewhere that catches little feet or under a dresser where it can't be reached.) While you 're at it, you might want to set up a notification that lets you know when littles are about. 
since you'll have the ability to do that.
There are several light strips out there. RGBGenie makes a controller and sylvania has some cheap ones out right now, but be aware that the sylvania can cause problems and best to stay away from them unless you've researched them before you buy. (know what you're getting into)
That being said, you may want to make sure that you have powered zigbee and zwave devices in your mesh so that your automations are reliable. LED's don't generally repeat well. I see you've been a member for about a year, but your statement "my first goal" leaves me unsure of how deep your rabbit hole goes.
