BINOCULARS -Please help me out in choosing a good binocular........?

I m having a Tasco 20X21 compact binocular.I want to a binocular to use it in daylight as well as in Night for star watching.I searched over net and found that binoculars above 7-8X magnification prove to be shaky.But i want to know that if i would go for a 7X50 binocular then will it help me viewing the stars and moon more clearly and greater than my present 20X21 bino???????one more thing if i stick to my present bino which is 20X21 and add a tripod to it and then will it help me to see moon more clearly then 7X50 bino??Also i want some good telescopes of mag 100+ and within 50$.Please give your expert comments,as you can see i am new to this vast field of Amateur ASTRONOMY.