If your going to be doing both video and photography, i'd suggest sticking with a good DSLR camera.
DSLR Cameras have come a long way, and are not great for shooting video as well as photography.
Start with the basic knowledge.
Mega Pixels arn't everything
Mega pixels arn't everything, don't purchase a camera because its got more mega pixel output then another.
Many cameras on the market like nikon and sony use boosters to increase the mega pixels, and appeal to the customer who thinks that bigger is better. What you should be looking at is the sensor in the camera, make sure it's a CMOS and you'll be a happy camper.
Lenses are where the money is at.
Brands will once again take shortcuts in this category, since you will be using your camera for video you can get away with a standard lens but know this you will always get a better quality if your not zooming in and out when shooting video. Pick a focus point and stick with it.
Depending on the brand some of the standard lens's are quite good.
Video stuff.
1080P is a given but if your doing photography on the same day you might want to check out the the shutter speed.
1/4000 frame per second is a good starting point, but the higher up you go the more expensive the camera.
Focus points
Focus points will determine how quickly you lock onto that shot when doing photography and also how well the camera will track the subject in video mode. Some brands like Canon and Sony do this very well as when your shooting in video mode you can track a subject and it follows them, provided your pointing the camera in the right position. The SoloShot is a great piece of technology as it will detect the wrist band and and follow you around.
I guess you just have to be mindful if you want to shoot your self that the camera can't zoom so you will have to run the same line as to keep everything in frame.
Based on these recommendations i can suggest a couple of cameras.
I use Canon just because you can get there stuff at good prices, they have lots of lenses and the quality is great.
The 700D is your best starting point, comes with a good standard lens and produces great shots and video is good to.
www.canon.com.au/cameras/eos-700d/support$862
www.digitalcamerawarehouse.com.au/prod9877.htmThe other camera id suggest if you want to spend a little bit more money is the 60d.
The reason why i think this is a better option, is it has more focus points, 19 where as the 700d only has 9, it has twice the shutter speed and also it is water and dust resistant.
I note worthy feature when your shooting at the beach.
www.canon.com.au/en-AU/Personal/Products/Cameras-and-Accessories/EOS-Digital-SLR-Cameras/60D$1391
www.digitalcamerawarehouse.com.au/category68_1.htmif you ever want to check out side by side cameras and there specs, check out dp review.
www.dpreview.com/products/compare/side-by-side?products=canon_eos700d&products=canon_eos70d&sortDir=ascendingCameras are complex and a lot of things to consider when buying them, having been shooting photography for a couple of years now i know you'll be happy with either one of these options, you can of course look at other brands, but from my experience i've been very happy with Canon.
Enjoy.
Jon