Hi Cinta ... Welcome! Very nice plants you have there! Codieum ("Croton's") are a common landscape plant down here in Florida and many people don't like them but I love the vivid colors. I grow them in containers, not in the ground because we do have extremely cold winters sometimes in this part of Florida and they end up dying if in the ground and it stays cold for a long time. I used to have a dozen or more Croton's but I lost most of them in our past few cold winters.
The plant in your first photo looks like Codiaeum 'Mamey':
Croton (Codiaeum variegatum 'Mammie')
The little one in your second picture looks to be Codiaeum 'Petra':
Croton (Codiaeum variegatum 'Petra')
Your plants should do fine as long as they get bright light, warmth and humidity. You can reduce watering in the winter months and they must be kept out of cold drafts. There are lots of Croton's listed in the database and you should add your pictures and earn some acorns:
http://garden.org/plants/brows...