The fastest and most reliable devices out there are VHS to DVD combos, that allow recording from either format to the other.
As long as your VHS video tapes are not commercial 'copy-guarded' videos you should get excellent video and audio quality.
Computers are notorious for bottle-necking, the video and audio being way out of sync during the streaming process and the finished product being the same.
Roxio has a VHS TO DVD device that uses the USB port on your computer, it has RCA jacks for video in or you can use the S-Video port and both stereo channels, however, if your computer is not fast enough in processing power, your videos won't be worth keeping.
If you live in the USA, Walmart has VHS-DVD recorder combo for around $150.00 USD, it requires an external RF converter for display on older non-digital TV sets, but the HDMI output can be used for direct connection to your digital TV.
This device has no TV tuner however, but there is one unit that is only available on line that does, but it costs more.
For your convenience, I will add the links here for you and if you want to know if these are good units, I own both units and are very happy with their quality.VHS TO DVD SOFTWAREhttp://www.walmart.com/search/search-ng.do?search_constraint=3944&ic=48_0&Find.x=0&Find.y=0&Find=Find&_ta=1&search_query=vhs%20to%20dvd&_tt=vhs VHS-DVD combo recorder WITHOUT built in analog/digital TV tuner
(line in only)http://www.walmart.com/ip/Magnavox-Dvd-Player-Vcr-Combo/11319408VHS-DVD combo recorder with analog/digital TV tuner (Also tunes in cable TV channels)http://www.walmart.com/ip/Sylvania-Dvd-Recorder-Vcr-Combo/11088889
I think you will be happier with one of those two devices above, plus they will work with your television set.