There are two good TVs in and around that size. The Dynex 13” is a CTR (Tude) HD TV at a 4:3 Screen size with 480i resolution. It is very economical with built in tuner.
http://www.bestbuy.com/site/olspage...
The other is an Insignia Wide Screen 15” LCD HD TV at 720p. I own one of these and like it a lot and the customer reviews are great.
http://www.bestbuy.com/site/olspage...

The Dynex may be a 13” but will take up more space on the counter than the 15” LCD Insignia and the CRT Screen of the Dynex will be more reflective than the LCD of the Insignia making it harder to see if your kitchen is bright white or off white colored.

The term “Point and Shoot” is deceptive. It is a function, not a type of camera. ALL cameras are point and shoot because they all have a “Auto” setting. Evan the Pro cameras that cost thousands of dollars have a Auto setting. The difference is that a Compact camera does not have manual settings and Advanced cameras have limited settings and neither have removable lenses. For complete creative control it takes a D-SLR. There is more differences such as sensor size, battery life,.. ect. Prices for a entry level D-SLR are comparable to high end Compact and Advanced cameras. D-SLR cameras are bigger and heavier but the battery last longer giving you more photos per charge. D-SLR cameras are faster. There is no lag time from when the shutter button is pushed and when it takes the picture. This is a big issue with beginning photographers and can be very frustrating waiting for the camera to finish taking the photo when the button is pushed on a Compact camera.
Advanced cameras are quite a bit bigger than a Compact but not as big as a D-SLR. They do feel similar in shape and layout.
Compact cameras are very portable and can be kept in a pocket for quick use...”Snapshots” of every day things.
D-SLR cameras will take “Photographs”..and will grow and evolve with you as a photographer.

The Olympus 850SW and 1030SW seem to be the more popular of the SW series from Olympus. Customer reviews are very good for these cameras.

If your looking to edit A roll video with B roll audio...this can be done in an editing program. Depending on the length of the project there might be a little drift over a long run of continuous footage, after 15minutes or so. This is due to variations in Frame Rate. Standard video is at 29.97fps with an option of either 32k or 48k audio recording on semi-pro camcorders. Most stand alone Audio Capture devices give you more options for kilohertz, anywhere from 12k to 48k (or more). If you record the audio in HQ you may have to change the hertz and still slightly adjust it during editing to keep in sync. When I'm working with B roll audio I usually record a little Nat Background Sound to use as a mask when I separate the audio track to re-sync. This helps fill in the hole that the edit makes. I just use the Nat Sound to fill in the silence.
If your Camcorder and Audio Recorder both have Time Code...syncing is much easier, but the Hertz must still match.