>>2875795You really should look more into how digital cameras work, specifically lenses.
There is a common saying, "Marry the lens, date the body." Unlike old film cameras, a digital camera body quickly goes out of date. 5 or so years later you will be wanting a new body, but a lens can last forever if properly stored and taken care of. I have a few lenses I use quite often that are older than I am.
So you should first decide what kind of photos you want to take and what lenses you will want to do so. Are you going to just take casual pictures of family? A kit lens or a few cheap primes will do. Shots of small things like flowers or bees? Gonna want a macro. Pictures of the next H-IIB launch? Gonna want a telephoto.
When you know what lens you want, pick a body. A mirrorless body IS smaller and lighter, but a lot of people imagine them to be pocketable like a cellphone and that just isn't true.
One of the main reasons mirrorless cameras are so popular is they can adapt almost any other lens from other cameras including those from the film era.
A DSLR also focuses faster, though with each generation this becomes smaller and smaller. I don't think it is an issue anymore for most types of photography.
As for what brand to buy? Up to you. The Sony a6000 is a nice camera capable of taking nice pictures, but Sony lenses can be a little pricier than others. Newer Sony bodies are considerably more capable than the a6000 too.
Another mirrorless worth looking into is the Fuji X-mount mirrorless cameras. They use a slightly different pixel pattern on their sensors that some people think produces a better looking image. They lack lenses now, but are constantly adding new ones.
Pentax (K-S1, K50, K-70 etc) is worth looking at if you are interested in a DSLR (outside of Canon/Nikon I mean). They have some affordable bodies and lenses, and for awhile were one of the few companies that had DSLR bodies in colors other than black.