I want to replace Routers, switch to increase distribution QoS and move Wi-Fi signal to center 50 feet from cable modem at 105 mbps and gigabit Ethernet. All rooms in house were wired back when cable modem was first offered and I want to retain for quality of signal. But, wireless sent from drop point of cable, is too poor. Since all distribution begins there, I am looking to add a Router that can provide QoS and uplink to wireless access point and single CAT5 to attic switch that terminates in bedrooms.
Additionally, if possible without taking away from the above, I would like to add a printer or other devices either as USB 3 and SATA drive for local backups of PC over network.
What and how can I best accomplish this? I realize I am asking for a lot. Also, I would like to keep hardware below $1000