January is a fine time to be in LA (as long as the fires are out by then).  Temps are usually in the 60s-70s during the day and maybe a small chance of rain.

I don't know much about Silverlake, so hopefully someone else can help with the Tacos.  You'll be near Dodger Stadium, but probably 30-45 minute drive to the coast.

Don't know how long you're in the area, but if you get up North to Santa Barbara please get in touch!