To start with a "traditional" Scope, I would not chose the Owon or Finirsi, you list. You need a model with knobs to turn. These handheld scopes rely on menus and "push up" push down". This does not give you the feeling, using such an instrument.
Go into the direction, nctnico shows. These are "cheap" scopes, if you talk to a pro, but they just do, what you need to start with. I started with a chewing-gum green "Kiprim DS1202" - some relabeled Owon for about 130€. I did not regret it.