Not sure of the specs on your speakers, but sounds like you need an amp with a decent power supply to handle a relatively low impedance load. Like Internetmin I'd be suspect that an AVR can handle it, or handle it and sound good, unless you spend some $$$. And you'd be buying a bunch of features and extra channels of amplification you don't seem to need or want.
Ejlif had a good suggestion with an integrated amp, but likely won't have a sub out that you seem to want. I'd look for a good stereo amp (I'm assuming you're only driving two channels since you made no mention of a center speaker) and a good used pre/pro. This should meet your needs and sound better than most AVRs in the process. If you don't need HDMI inputs there are a couple B&K Ref30s and an Acurus ACT3 that can do everything you're looking for and can probably be had for about $250. Emotiva has been getting very nice reviews on their amps, and this stereo amp puts out 125W into 8Ohms and 200W into 4Ohms and is only $350 new.
http://shop.emotiva.com/collections/amplifiers/products/upa200
For the money I think one of these combos would meet your needs and sound much better than any comparably-priced AVR. Hope this helps and best of luck.
Ejlif had a good suggestion with an integrated amp, but likely won't have a sub out that you seem to want. I'd look for a good stereo amp (I'm assuming you're only driving two channels since you made no mention of a center speaker) and a good used pre/pro. This should meet your needs and sound better than most AVRs in the process. If you don't need HDMI inputs there are a couple B&K Ref30s and an Acurus ACT3 that can do everything you're looking for and can probably be had for about $250. Emotiva has been getting very nice reviews on their amps, and this stereo amp puts out 125W into 8Ohms and 200W into 4Ohms and is only $350 new.
http://shop.emotiva.com/collections/amplifiers/products/upa200
For the money I think one of these combos would meet your needs and sound much better than any comparably-priced AVR. Hope this helps and best of luck.