We can just recomend Peteris apartment for a trip to Riga! You have everything you need, a lot of light and a super crazy bathroom. You will have to sleep on a daybed but it's comfortable. There are a few bus stops next to the apartment, but you just need 20 min by feet to the old city. We felt really safe around this area.. everywhere in Riga. Just come and visit this beautiful city! :)
Thanks for everything Peteris!