I have travelled quite a bit in Europe, and trust me if you want luxury, then you can not go to old europe. Meaning, scandinavia, Germany, Holland, Belgium, thoose sort of places.. EXPENSIVE!!
It is important what you are looking for. Culture, history, woman, partying, a little of everything.
I dont know when you'll be going, but obviosly there aint much sunshine overhere right now.
I will say one thing tho, make your trip a two stop.. basicly 2 countries and make Budapest, Hungary one of them.
FUCKING AWESOME PLACE.
Hot ass woman eveywhere - check
Fairly cheap compared to rest of europe - check
person - check (i would think but just look at the porn made there)
Casinos and gambling - check
Old city, atmosphere - check
Nightlife - check
Things to see - check
Relatively cheap - check
That i would combine with a week in the greec islands, or maybe Rome/Paris if it is not yet summer.
But boiler room is correct, sure you can get a 5* hotel in Budapost for neat price, around 1700$ for a week, but you'll still need money. 2500$ for 14 days might be a bit short unless you are going the packpacking route.
I would say you need 3500 to be able to spend, and have a nice hotel.