It all depends on how good your TV is. Low resolution TV can't display High Definition any better than normal low res. Normal TVs have a picture quality measured in lines of resolution, color liniarity, saturation and contrast ratio.
A good TV can usually manage 400 lines of resolution, a computer monitor can manage a great deal more, 1024 is average. There are some highly technical reasons TV resolution is so low, so getting your video to look 'sharper' will be difficult. Also the luminance and color depth may be limited in the TV as well, again due to technical reasons.
The only way your video will look as good as on your computer screen will be if you get a High Definition TV set.
Fav quote - "Experience is whatcha don't get 'till ya don't need it no more."
System - Athlon 1.4GHz, Win98, Hauppauge PVR250 receiver and compressor.
Software -Magix Movie Edit Pro 10, Nero 6 + NeroVision Express, Moho 4.61, PSP 8.1, Bryce, Quicktime 6.52 pro, Goldwave 5, DVD-Lab.
Cameras - Panasonic GS9, Canon ES8400V, Canon EOS D20 and Canon A70