Hello,
I want to be honest with you, turning your existing website in something like website you listed in description for this budget is impossible. Either you can increase budget and i can make your website look like that one, or i can make changes enough for your website to look modern with budget you have,
For any questions contact me via pm, email or skype, skype id: live:kristijan.sekeres_1
Kind Regards,
Kristijan S.