In audio systems which include subwoofers, all modern multichannel receivers and pre/pros send the LFE input channel only to the subwoofer output channel. They also include bass management, which redirects low frequencies below a specified crossover frequency from the various speaker channels to the subwoofer channel.
Many subwoofers include their own bass management options, so if yours does, recabling your front speakers to it might be one way to reduce the problem until you upgrade.
Without knowing which "bangs" are important to you, it's hard to recommend any particular models. Modern DSP chips are much more powerful than the ones that were available 10 years ago, so receivers include many more features than they used to. Personally I'm biased toward Marantz and Denon equipment.
Marantz SR7009 avr + MM9000 amp --> Atmos 7.1.4
Fronts=NHT 2.9+AC2, FH+TM=DefTech PM1000, LCR+TM amped