Can I get a lens adapter kit for my Nikon L830? Macro shots?

I know they sell them, but I have read multiple things about it and some people are saying that you can't attach lens to it even with an adapter… So then my question is what would be the best camera to use for macro shots? The L830 has a 34 point optical zoom and Im looking for more than that for less that $400. Does it exist?

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Macro photography options?

I am new to the SLR segment. Just bought Nikon D5300. I have two lenses- Nikkor 18-55 kit (VR) and Tamron 16-300.

I'm looking for macro options. I want to take 3:1 macro shots. Now, clearly, I'm out of budget already. So, I can't buy a dedicated macro lens. I need a cheap alternative. I've been considering the following options:

** Raynox DCR 250 snap on
** Kenko extension tubes set
** Bellows
** Reverse mounting of my existing zoom lens
** Double mount

Now, I don't know the exact capabilities and limitations of these. I'm gathering information over internet only. So, it'd be very helpful if you help me choose. Also any other option is welcome too.

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